Number of problems in this table is 728
Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.
|
# |
ODE |
A |
B |
C |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.299 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.394 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.116 |
|
|
\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.38 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.438 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.634 |
|
|
\[ {}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.141 |
|
|
\[ {}6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.583 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 16 y \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.418 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.352 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.165 |
|
|
\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.585 |
|
|
\[ {}3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.508 |
|
|
\[ {}y^{\prime \prime \prime }+10 y^{\prime \prime }+25 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.664 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.365 |
|
|
\[ {}2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.309 |
|
|
\[ {}y^{\prime \prime \prime }+27 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.573 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.5 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.425 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.123 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.813 |
|
|
\[ {}y^{\prime \prime \prime } = y \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.059 |
|
|
\[ {}y^{\prime \prime \prime \prime } = y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+2 y \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.063 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+3 y = t \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
68.273 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.389 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.319 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
2.604 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.386 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.038 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.421 |
|
|
\[ {}y^{\left (6\right )}+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
4.017 |
|
|
\[ {}y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.168 |
|
|
\[ {}y^{\left (6\right )}-y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.522 |
|
|
\[ {}y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.529 |
|
|
\[ {}y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.27 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.159 |
|
|
\[ {}y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.424 |
|
|
\[ {}y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+6 y^{\prime \prime }+30 y^{\prime }-36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.607 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.992 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.438 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+7 y^{\prime }-5 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.582 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.168 |
|
|
\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.555 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+16 y^{\prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.47 |
|
|
\[ {}2 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }-3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.404 |
|
|
\[ {}y^{\prime \prime \prime }+5 y^{\prime \prime }+9 y^{\prime }+5 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.545 |
|
|
\[ {}4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.474 |
|
|
\[ {}27 y^{\prime \prime \prime }+27 y^{\prime \prime }+9 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.178 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.453 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.487 |
|
|
\[ {}y^{\prime \prime \prime \prime }+12 y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.217 |
|
|
\[ {}16 y^{\prime \prime \prime \prime }-72 y^{\prime \prime }+81 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.618 |
|
|
\[ {}6 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+7 y^{\prime \prime }+5 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.576 |
|
|
\[ {}4 y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+3 y^{\prime \prime }-13 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.487 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-6 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.682 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.098 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.753 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.819 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.106 |
|
|
\[ {}3 y^{\prime \prime \prime }-y^{\prime \prime }-7 y^{\prime }+5 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.877 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.519 |
|
|
\[ {}2 y^{\prime \prime \prime }-11 y^{\prime \prime }+12 y^{\prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.877 |
|
|
\[ {}8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.845 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.287 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+7 y^{\prime \prime }+6 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.909 |
|
|
\[ {}4 y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.963 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-8 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.52 |
|
|
\[ {}4 y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+19 y^{\prime \prime }+32 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.385 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.486 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.328 |
|
|
\[ {}y^{\prime \prime \prime \prime }+64 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.74 |
|
|
\[ {}y^{\left (6\right )}-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
5.019 |
|
|
\[ {}y^{\prime \prime \prime \prime }+64 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.612 |
|
|
\[ {}y^{\left (5\right )}+y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
2.321 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = -{\mathrm e}^{x} \left (-24 x^{2}+76 x +4\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.226 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y = {\mathrm e}^{-3 x} \left (6 x^{2}-23 x +32\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.263 |
|
|
\[ {}4 y^{\prime \prime \prime }+8 y^{\prime \prime }-y^{\prime }-2 y = -{\mathrm e}^{x} \left (6 x^{2}+45 x +4\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.321 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = {\mathrm e}^{-2 x} \left (3 x^{2}-17 x +2\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.215 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = {\mathrm e}^{x} \left (16 x^{3}+24 x^{2}+2 x -1\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.003 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-2 y = {\mathrm e}^{x} \left (15 x^{2}+34 x +14\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.596 |
|
|
\[ {}4 y^{\prime \prime \prime }+8 y^{\prime \prime }-y^{\prime }-2 y = -{\mathrm e}^{-2 x} \left (1-15 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.04 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = -{\mathrm e}^{x} \left (7+6 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.951 |
|
|
\[ {}2 y^{\prime \prime \prime }-7 y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{2 x} \left (17+30 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.122 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+3 y^{\prime }+9 y = 2 \,{\mathrm e}^{3 x} \left (11-24 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.094 |
|
|
\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+8 y^{\prime }+16 y = 2 \,{\mathrm e}^{4 x} \left (13+15 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.06 |
|
|
\[ {}8 y^{\prime \prime \prime }-12 y^{\prime \prime }+6 y^{\prime }-y = {\mathrm e}^{\frac {x}{2}} \left (1+4 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.35 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }-7 y^{\prime }+6 y = -3 \,{\mathrm e}^{-x} \left (-8 x^{2}+8 x +12\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.706 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-2 y = -3 \,{\mathrm e}^{2 x} \left (11+12 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.387 |
|
|
\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+24 y^{\prime \prime }+32 y^{\prime } = -16 \,{\mathrm e}^{-2 x} \left (-x^{3}+x^{2}+x +1\right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
4.398 |
|
|
\[ {}4 y^{\prime \prime \prime \prime }-11 y^{\prime \prime }-9 y^{\prime }-2 y = -{\mathrm e}^{x} \left (1-6 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.614 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} \left (x^{2}+4 x +3\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
63.285 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+2 y = {\mathrm e}^{2 x} \left (x^{4}+x +24\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
11.03 |
|
|
\[ {}2 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-5 y^{\prime }-2 y = 18 \,{\mathrm e}^{x} \left (5+2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.367 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }-4 y = -{\mathrm e}^{2 x} \left (15 x^{2}+28 x +4\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.969 |
|
|
\[ {}2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-2 y^{\prime }-y = 3 \,{\mathrm e}^{-\frac {x}{2}} \left (1-6 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.747 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = {\mathrm e}^{x} \left (-3 x^{2}+x +3\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.535 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{2 x} \left (18 x^{2}+33 x +13\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.428 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{2 x} \left (12 x^{2}+26 x +15\right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.41 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime }-y = {\mathrm e}^{x} \left (1+x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.381 |
|
|
\[ {}2 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-y = {\mathrm e}^{x} \left (11+12 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.385 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{-x} \left (10 x^{2}-24 x +5\right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.417 |
|
|
\[ {}y^{\prime \prime \prime \prime }-7 y^{\prime \prime \prime }+18 y^{\prime \prime }-20 y^{\prime }+8 y = {\mathrm e}^{2 x} \left (-5 x^{2}-8 x +3\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.433 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{-x} \left (\left (16+10 x \right ) \cos \left (x \right )+\left (30-10 x \right ) \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.293 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-4 y = {\mathrm e}^{-x} \left (\left (1-22 x \right ) \cos \left (2 x \right )-\left (6 x +1\right ) \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.531 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime }-2 y = {\mathrm e}^{2 x} \left (\left (-x^{2}+5 x +27\right ) \cos \left (x \right )+\left (9 x^{2}+13 x +2\right ) \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
16.825 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = -{\mathrm e}^{x} \left (\left (4 x^{2}+5 x +9\right ) \cos \left (2 x \right )-\left (-3 x^{2}-5 x +6\right ) \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
13.105 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+4 y^{\prime }+12 y = 8 \cos \left (2 x \right )-16 \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
5.253 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+2 y = {\mathrm e}^{x} \left (\left (20+4 x \right ) \cos \left (x \right )-\left (12+12 x \right ) \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.104 |
|
|
\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+20 y^{\prime }-24 y = -{\mathrm e}^{2 x} \left (\left (13-8 x \right ) \cos \left (2 x \right )-\left (8-4 x \right ) \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
12.679 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+18 y^{\prime } = -{\mathrm e}^{3 x} \left (\left (2-3 x \right ) \cos \left (3 x \right )-\left (3+3 x \right ) \sin \left (3 x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
5.123 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-8 y^{\prime }-8 y = {\mathrm e}^{x} \left (8 \cos \left (x \right )+16 \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
9.607 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }-4 y = {\mathrm e}^{x} \left (2 \cos \left (2 x \right )-\sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
11.234 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+15 y = {\mathrm e}^{2 x} \left (15 x \cos \left (2 x \right )+32 \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
13.16 |
|
|
\[ {}y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+13 y^{\prime \prime }+12 y^{\prime }+4 y = {\mathrm e}^{-x} \left (\left (4-x \right ) \cos \left (x \right )-\left (x +5\right ) \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.553 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }-4 y = -{\mathrm e}^{-x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
10.404 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+13 y^{\prime \prime }-19 y^{\prime }+10 y = {\mathrm e}^{x} \left (\cos \left (2 x \right )+\sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
10.407 |
|
|
\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime \prime }+32 y^{\prime \prime }+64 y^{\prime }+39 y = {\mathrm e}^{-2 x} \left (\left (4-15 x \right ) \cos \left (3 x \right )-\left (4+15 x \right ) \sin \left (3 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
20.096 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+13 y^{\prime \prime }-19 y^{\prime }+10 y = {\mathrm e}^{x} \left (\left (7+8 x \right ) \cos \left (2 x \right )+\left (8-4 x \right ) \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
18.985 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+8 y^{\prime \prime }+8 y^{\prime }+4 y = -2 \,{\mathrm e}^{x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.466 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+32 y^{\prime \prime }-64 y^{\prime }+64 y = {\mathrm e}^{2 x} \left (\cos \left (2 x \right )-\sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.51 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+26 y^{\prime \prime }-40 y^{\prime }+25 y = {\mathrm e}^{2 x} \left (3 \cos \left (x \right )-\left (1+3 x \right ) \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.118 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = {\mathrm e}^{2 x}-4 \,{\mathrm e}^{x}-2 \cos \left (x \right )+4 \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.951 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 5 \,{\mathrm e}^{2 x}+2 \,{\mathrm e}^{x}-4 \cos \left (x \right )+4 \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.99 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime } = -2 x -2+4 \,{\mathrm e}^{x}-6 \,{\mathrm e}^{-x}+96 \,{\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.115 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+9 y^{\prime }-10 y = 10 \,{\mathrm e}^{2 x}+20 \,{\mathrm e}^{x} \sin \left (2 x \right )-10 \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.984 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-x}+9 \cos \left (2 x \right )-13 \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.533 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 4 \,{\mathrm e}^{-x} \left (1-6 x \right )-2 x \cos \left (x \right )+2 \left (1+x \right ) \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.883 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = -12 \,{\mathrm e}^{x}+6 \,{\mathrm e}^{-x}+10 \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.194 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+11 y^{\prime \prime }-14 y^{\prime }+10 y = -{\mathrm e}^{x} \left (\sin \left (x \right )+2 \cos \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
16.946 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+4 y = 2 \,{\mathrm e}^{x} \left (1+x \right )+{\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.485 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y = \sinh \left (x \right ) \cos \left (x \right )-\cosh \left (x \right ) \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
11.277 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+9 y^{\prime \prime }+7 y^{\prime }+2 y = {\mathrm e}^{-x} \left (30+24 x \right )-{\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.486 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+7 y^{\prime \prime }-6 y^{\prime }+2 y = {\mathrm e}^{x} \left (12 x -2 \cos \left (x \right )+2 \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.671 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = {\mathrm e}^{2 x} \left (10+3 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.952 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-2 y = -{\mathrm e}^{3 x} \left (17 x^{2}+67 x +9\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.8 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = {\mathrm e}^{2 x} \left (-3 x^{2}-4 x +5\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.112 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = -2 \,{\mathrm e}^{-x} \left (6 x^{2}-18 x +7\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.387 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} \left (1+x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.345 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = -{\mathrm e}^{-x} \left (3 x^{2}-9 x +4\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.411 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{-2 x} \left (\left (23-2 x \right ) \cos \left (x \right )+\left (8-9 x \right ) \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.282 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{x} \left (\left (28+6 x \right ) \cos \left (2 x \right )+\left (11-12 x \right ) \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
6.084 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+14 y^{\prime \prime }-20 y^{\prime }+25 y = {\mathrm e}^{x} \left (\left (6 x +2\right ) \cos \left (2 x \right )+3 \sin \left (2 x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.115 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-5 y^{\prime }+6 y = 2 \,{\mathrm e}^{x} \left (1-6 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.519 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = -{\mathrm e}^{-x} \left (4-8 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.483 |
|
|
\[ {}4 y^{\prime \prime \prime }-3 y^{\prime }-y = {\mathrm e}^{-\frac {x}{2}} \left (2-3 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.491 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-x} \left (20-12 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.042 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }+2 y = 30 \cos \left (x \right )-10 \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
5.213 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+5 y^{\prime \prime }-2 y^{\prime } = -2 \,{\mathrm e}^{x} \left (\cos \left (x \right )-\sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
88.982 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = F \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.537 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = F \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.59 |
|
|
\[ {}2 y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.428 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.428 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.405 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.507 |
|
|
\[ {}y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.414 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.393 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }-17 y^{\prime }+60 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.435 |
|
|
\[ {}y^{\prime \prime \prime }-9 y^{\prime \prime }+23 y^{\prime }-15 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.406 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-7 y^{\prime \prime }-y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.463 |
|
|
\[ {}2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.53 |
|
|
\[ {}12 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.547 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.392 |
|
|
\[ {}4 y^{\prime \prime \prime }+2 y^{\prime \prime }-4 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.523 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+24 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.432 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-7 y^{\prime \prime }-8 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.51 |
|
|
\[ {}y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+15 y^{\prime \prime }+4 y^{\prime }-12 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.593 |
|
|
\[ {}y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.615 |
|
|
\[ {}y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-15 y^{\prime \prime \prime }-19 y^{\prime \prime }+30 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.59 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.559 |
|
|
\[ {}y^{\left (5\right )}+3 y^{\prime \prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.808 |
|
|
\[ {}2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.523 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.208 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.342 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.483 |
|
|
\[ {}4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.519 |
|
|
\[ {}4 y^{\left (5\right )}-3 y^{\prime \prime \prime }-y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.627 |
|
|
\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+16 y^{\prime }-12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.51 |
|
|
\[ {}4 y^{\prime \prime \prime }-8 y^{\prime \prime }+5 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.512 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.507 |
|
|
\[ {}y^{\prime \prime \prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.872 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime }-20 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.66 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.787 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-8 y^{\prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.777 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-6 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
76.319 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.202 |
|
|
\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.597 |
|
|
\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.933 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime \prime }-12 y^{\prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.254 |
|
|
\[ {}4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.015 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }-6 y^{\prime \prime }+8 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.88 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
2.721 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime } = x^{2}+8 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.341 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-12 y = x +{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
3.472 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }-4 y = {\mathrm e}^{4 x} \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.19 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{2 x} x \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.264 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = \sin \left (k x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.493 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime } = \left (2 x^{2}+x \right ) {\mathrm e}^{-2 x}+5 \cos \left (3 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.308 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y = 5 \,{\mathrm e}^{2 x} \sin \left (3 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.313 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime } = \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.662 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }-5 y^{\prime } = {\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.95 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.342 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.387 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.629 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = \tan \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
5.01 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.35 |
|
|
\[ {}y^{\prime \prime \prime }-y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
3.182 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }-4 y = \sin \left (x \right )-{\mathrm e}^{4 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
5.005 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 4 \,{\mathrm e}^{x}+3 \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.496 |
|
|
\[ {}y^{\prime \prime \prime }-y = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
3.006 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }-5 y^{\prime } = x^{2} {\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.155 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.391 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime } = {\mathrm e}^{x} \left (\sin \left (x \right )-x^{2}\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.498 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime } = {\mathrm e}^{2 x} \left (x -3\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.357 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+9 y^{\prime \prime } = \sin \left (3 x \right )+x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.919 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = x^{2} {\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.107 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime } = x^{2}+\cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.525 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }+2 y = \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
8.332 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = x^{3}-\frac {\cos \left (2 x \right )}{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
68.498 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime } = {\mathrm e}^{-2 x} \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.642 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{-2 x} \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.576 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime } = x^{2} \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.8 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = x^{2} \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.349 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{x}+\sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.337 |
|
|
\[ {}y^{\left (5\right )}+y^{\prime \prime \prime \prime } = x^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.388 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.513 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime } = x \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.092 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime } = x \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.56 |
|
|
\[ {}y^{\prime \prime \prime }-12 y^{\prime }+16 y = 32 x -8 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.554 |
|
|
\[ {}y^{\prime \prime \prime } = 6 x \] |
1 |
1 |
1 |
[[_3rd_order, _quadrature]] |
✓ |
✓ |
0.235 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.168 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.188 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-18 y^{\prime }-40 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.188 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.162 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.179 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.203 |
|
|
\[ {}y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.23 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 4 \,{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.471 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }+8 y = 24 \,{\mathrm e}^{-3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.55 |
|
|
\[ {}y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime } = 6 \,{\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.427 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-5 y^{\prime }-6 y = 4 x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.568 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 9 \,{\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.941 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 2 \,{\mathrm e}^{-x}+3 \,{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.175 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = 4 x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.939 |
|
|
\[ {}y^{\prime \prime \prime \prime }+104 y^{\prime \prime \prime }+2740 y^{\prime \prime } = 5 \,{\mathrm e}^{-2 x} \cos \left (3 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.227 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \frac {2 \,{\mathrm e}^{x}}{x^{2}} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.275 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 36 \,{\mathrm e}^{2 x} \ln \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.336 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = \frac {2 \,{\mathrm e}^{-x}}{x^{2}+1} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.32 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 12 \,{\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.151 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.226 |
|
|
\[ {}y^{\prime \prime \prime }+11 y^{\prime \prime }+36 y^{\prime }+26 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.273 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+25 y^{\prime } = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.04 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+25 y^{\prime } = \sin \left (4 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.569 |
|
|
\[ {}y^{\prime \prime \prime }+9 y^{\prime \prime }+24 y^{\prime }+16 y = 8 \,{\mathrm e}^{-x}+1 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.529 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.427 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }+9 y^{\prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.437 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.368 |
|
|
\[ {}y^{\prime \prime \prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.727 |
|
|
\[ {}y^{\prime \prime \prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.682 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.776 |
|
|
\[ {}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.324 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.32 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.923 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.306 |
|
|
\[ {}y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+9 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.372 |
|
|
\[ {}y^{\left (6\right )}-64 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
4.147 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = \sin \left (x \right )+x \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.874 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = {\mathrm e}^{2 x} \sin \left (2 x \right )+2 x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
13.993 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+3 y^{\prime } = x^{2}+{\mathrm e}^{2 x} x \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.353 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime } = 7 x -3 \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.595 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = \sin \left (x \right ) \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.136 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-10 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.351 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.291 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.482 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y a^{2} = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.123 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.188 |
|
|
\[ {}3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.312 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.105 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.228 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.304 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-11 y^{\prime \prime }-12 y^{\prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.394 |
|
|
\[ {}36 y^{\prime \prime \prime \prime }-37 y^{\prime \prime }+4 y^{\prime }+5 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.322 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.421 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.501 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.132 |
|
|
\[ {}y^{\prime \prime \prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.583 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.363 |
|
|
\[ {}y^{\left (5\right )}+2 y^{\prime \prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.151 |
|
|
\[ {}3 y^{\prime \prime \prime }+5 y^{\prime \prime }+y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.64 |
|
|
\[ {}y^{\prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.424 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-6 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.254 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.989 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.387 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.309 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+13 y^{\prime \prime }-18 y^{\prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.404 |
|
|
\[ {}x^{\prime \prime \prime }-x^{\prime \prime }+x^{\prime }-x = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.27 |
|
|
\[ {}x^{\prime \prime \prime \prime }+x = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.588 |
|
|
\[ {}x^{\prime \prime \prime }-3 x^{\prime \prime }-9 x^{\prime }-5 x = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.274 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 2 x \,{\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.546 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 1+{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.2 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = \sec \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.341 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = \frac {{\mathrm e}^{x}}{1+{\mathrm e}^{-x}} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.316 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 5 x \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.188 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.125 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.217 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+12 y^{\prime \prime }-8 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.14 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+9 y^{\prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.302 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.297 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.326 |
|
|
\[ {}y^{\left (6\right )}+9 y^{\prime \prime \prime \prime }+24 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.181 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime } = 5 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.161 |
|
|
\[ {}y^{\left (5\right )}-4 y^{\prime \prime \prime } = 5 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.197 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime } = x \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.474 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}+4 x +8 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.454 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y = 2 x^{2}-4 x -1+2 x^{2} {\mathrm e}^{2 x}+5 \,{\mathrm e}^{2 x} x +{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.691 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.01 |
|
|
\[ {}y^{\prime \prime \prime }+y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.415 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x}+{\mathrm e}^{-x}+\sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.429 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.174 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 4 \,{\mathrm e}^{t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.21 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3 \sin \left (t \right )-5 \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.573 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = g \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.318 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime }-4 y = f \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.446 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 2 \sin \left (3 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.69 |
|
|
\[ {}a^{2} y^{\prime \prime \prime \prime } = y^{\prime \prime } \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.113 |
|
|
\[ {}y^{\prime \prime \prime } = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _quadrature]] |
✓ |
✓ |
0.185 |
|
|
\[ {}y^{\prime \prime \prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.482 |
|
|
\[ {}y^{\prime \prime \prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.957 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.22 |
|
|
\[ {}y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.201 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.463 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.323 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.267 |
|
|
\[ {}y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.172 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.397 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.951 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.299 |
|
|
\[ {}y^{\left (5\right )}+2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.342 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.28 |
|
|
\[ {}y^{\prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.982 |
|
|
\[ {}y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.171 |
|
|
\[ {}y^{\prime \prime \prime }-y = x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.712 |
|
|
\[ {}y^{\prime \prime \prime }-8 y = {\mathrm e}^{i x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
2.415 |
|
|
\[ {}y^{\prime \prime \prime \prime }+16 y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.905 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.226 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.013 |
|
|
\[ {}y^{\prime \prime \prime } = x^{2}+{\mathrm e}^{-x} \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _quadrature]] |
✓ |
✓ |
0.697 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = x^{2} {\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.233 |
|
|
\[ {}2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.25 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
2.069 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.375 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.618 |
|
|
\[ {}y^{\prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.204 |
|
|
\[ {}y^{\prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.218 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.199 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.214 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.549 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.889 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.212 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.233 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.752 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.875 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.418 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.235 |
|
|
\[ {}y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.708 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.305 |
|
|
\[ {}y^{\prime \prime \prime \prime } = \sin \left (x \right )+24 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.392 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 10+42 \,{\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.159 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime } = 1 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.319 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime }+y = x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
67.554 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+5 y^{\prime }-2 y = x \,{\mathrm e}^{x}+3 \,{\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.503 |
|
|
\[ {}y^{\prime \prime \prime }-\lambda y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.118 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.355 |
|
|
\[ {}y^{\prime \prime \prime }-a^{2} y^{\prime }-{\mathrm e}^{2 x a} \sin \left (x \right )^{2} = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.267 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-3 y^{\prime }+10 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.272 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-a^{2} y^{\prime }+2 y a^{2}-\sinh \left (x \right ) = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.895 |
|
|
\[ {}y^{\prime \prime \prime }-3 a y^{\prime \prime }+3 a^{2} y^{\prime }-a^{3} y-{\mathrm e}^{x a} = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.161 |
|
|
\[ {}y^{\prime \prime \prime }+\operatorname {a2} y^{\prime \prime }+\operatorname {a1} y^{\prime }+\operatorname {a0} y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.241 |
|
|
\[ {}4 y^{\prime \prime \prime }-8 y^{\prime \prime }-11 y^{\prime }-3 y+18 \,{\mathrm e}^{x} = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.579 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.151 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y-f = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.329 |
|
|
\[ {}y^{\prime \prime \prime \prime }+\lambda y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.088 |
|
|
\[ {}y^{\prime \prime \prime \prime }-12 y^{\prime \prime }+12 y-16 x^{4} {\mathrm e}^{x^{2}} = 0 \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
76.197 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y-\cosh \left (x a \right ) = 0 \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.877 |
|
|
\[ {}y^{\prime \prime \prime \prime }+\left (\lambda +1\right ) a^{2} y^{\prime \prime }+\lambda \,a^{4} y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.453 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+4 y-32 \sin \left (2 x \right )+24 \cos \left (2 x \right ) = 0 \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.201 |
|
|
\[ {}4 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }+11 y^{\prime \prime }-3 y^{\prime }-4 \cos \left (x \right ) = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.68 |
|
|
\[ {}f \left (y^{\prime \prime \prime \prime }-2 a^{2} y^{\prime \prime }+a^{4} y\right )+2 \operatorname {df} \left (y^{\prime \prime \prime }-a^{2} y^{\prime }\right ) = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.595 |
|
|
\[ {}f y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.154 |
|
|
\[ {}y^{\left (5\right )}+2 y^{\prime \prime \prime }+y^{\prime }-x a -b \sin \left (x \right )-c \cos \left (x \right ) = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.259 |
|
|
\[ {}y^{\left (6\right )}+y-\sin \left (\frac {3 x}{2}\right ) \sin \left (\frac {x}{2}\right ) = 0 \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
81.605 |
|
|
\[ {}y^{\left (5\right )}+a y^{\prime \prime \prime \prime }-f = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.149 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.228 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.223 |
|
|
\[ {}4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.281 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.253 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.119 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.272 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.122 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.531 |
|
|
|
||||||||
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.562 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 2 \,{\mathrm e}^{-x}-x^{2} {\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.234 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.583 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.612 |
|
|
\[ {}y^{\prime \prime \prime }-y = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.954 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-3 y^{\prime } = 3 x^{2}+\sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.908 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = {\mathrm e}^{x}+4 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.211 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.004 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x} \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.065 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime } = x^{2}-3 \,{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.587 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.226 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = x^{2}-x \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.198 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+5 y^{\prime }-2 y = {\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.212 |
|
|
\[ {}y^{\prime \prime \prime }-y = x \,{\mathrm e}^{x}+\cos \left (x \right )^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
8.678 |
|
|
\[ {}x^{\prime \prime \prime }+x^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.286 |
|
|
\[ {}x^{\prime \prime \prime }+x^{\prime } = 1 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.748 |
|
|
\[ {}x^{\prime \prime \prime }+x^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.194 |
|
|
\[ {}x^{\prime \prime \prime }-x^{\prime }-8 x = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.57 |
|
|
\[ {}x^{\prime \prime \prime }+x^{\prime \prime } = 2 \,{\mathrm e}^{t}+3 t^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.222 |
|
|
\[ {}x^{\prime \prime \prime }-8 x = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.558 |
|
|
\[ {}x^{\prime \prime \prime }+x^{\prime \prime }-x^{\prime }-4 x = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
4.961 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-4 y^{\prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.3 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.244 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.253 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.232 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+5 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.237 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.292 |
|
|
\[ {}4 y^{\prime \prime \prime }+4 y^{\prime \prime }-7 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.312 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.142 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }+5 y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.647 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.333 |
|
|
\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.16 |
|
|
\[ {}y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.317 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.334 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.434 |
|
|
\[ {}y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+15 y^{\prime \prime }+20 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.859 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.241 |
|
|
\[ {}y^{\left (5\right )} = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.227 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.466 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.716 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.531 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+9 y^{\prime }-5 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.749 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+6 y^{\prime \prime }+2 y^{\prime }+5 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.702 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime }+13 y^{\prime }+30 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.479 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }+y^{\prime }-6 y = -18 x^{2}+1 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.732 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-3 y^{\prime }-10 y = 8 x \,{\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.954 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }+3 y^{\prime }-5 y = 5 \sin \left (2 x \right )+10 x^{2}+3 x +7 \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
8.708 |
|
|
\[ {}4 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+3 y = 3 x^{3}-8 x \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.669 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 4 \,{\mathrm e}^{x}-18 \,{\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.786 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 9 \,{\mathrm e}^{2 x}-8 \,{\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.624 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = 2 x^{2}+4 \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.989 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 3 \,{\mathrm e}^{-x}+6 \,{\mathrm e}^{2 x}-6 x \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.333 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = x \,{\mathrm e}^{x}-4 \,{\mathrm e}^{2 x}+6 \,{\mathrm e}^{4 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.819 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 3 \,{\mathrm e}^{x} x^{2}-7 \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.709 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-3 y^{\prime \prime } = 18 x^{2}+16 x \,{\mathrm e}^{x}+4 \,{\mathrm e}^{3 x}-9 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.377 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+7 y^{\prime \prime }-5 y^{\prime }+6 y = 5 \sin \left (x \right )-12 \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.107 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 3 x \,{\mathrm e}^{x}+2 \,{\mathrm e}^{x}-\sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.453 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime }-4 y = 8 x^{2}+3-6 \,{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.992 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = {\mathrm e}^{x} x^{2}+3 \,{\mathrm e}^{2 x} x +5 x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.013 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = {\mathrm e}^{2 x} x +x^{2} {\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.488 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+4 y^{\prime \prime }+3 y^{\prime }+y = x^{2} {\mathrm e}^{-x}+3 \,{\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {\sqrt {3}\, x}{2}\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
11.246 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = x^{2} \sin \left (2 x \right )+{\mathrm e}^{2 x} x^{4} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
44.528 |
|
|
\[ {}y^{\left (6\right )}+2 y^{\left (5\right )}+5 y^{\prime \prime \prime \prime } = x^{3}+x^{2} {\mathrm e}^{-x}+{\mathrm e}^{-x} \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
32.586 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = x^{2} \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.33 |
|
|
\[ {}y^{\prime \prime \prime \prime }+16 y = x \,{\mathrm e}^{\sqrt {2}\, x} \sin \left (\sqrt {2}\, x \right )+{\mathrm e}^{-\sqrt {2}\, x} \cos \left (\sqrt {2}\, x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
10.753 |
|
|
\[ {}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = \cos \left (x \right )^{2}-\cosh \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
11.877 |
|
|
\[ {}y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y = \sin \left (x \right ) \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
5.986 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = {\mathrm e}^{x} x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.719 |
|
|
\[ {}x^{\prime \prime \prime }-6 x^{\prime \prime }+11 x^{\prime }-6 x = {\mathrm e}^{-t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.739 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y = \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.664 |
|
|
\[ {}x^{\prime \prime \prime \prime }-4 x^{\prime \prime \prime }+8 x^{\prime \prime }-8 x^{\prime }+4 x = \sin \left (t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.33 |
|
|
\[ {}x^{\prime \prime \prime \prime }-5 x^{\prime \prime }+4 x = {\mathrm e}^{t} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.944 |
|
|
\[ {}y^{\prime }+y^{\prime \prime \prime }-3 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.354 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = x^{2}-{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.098 |
|
|
\[ {}x^{\left (6\right )}-x^{\prime \prime \prime \prime } = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.289 |
|
|
\[ {}x^{\prime \prime \prime \prime }-2 x^{\prime \prime }+x = t^{2}-3 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.293 |
|
|
\[ {}y^{\prime \prime \prime }-y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
2.431 |
|
|
\[ {}y^{\left (6\right )}-3 y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = x \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.307 |
|
|
\[ {}x^{\prime \prime \prime \prime }+2 x^{\prime \prime }+x = \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.273 |
|
|
\[ {}x^{\prime \prime \prime \prime }+x = t^{3} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.079 |
|
|
\[ {}y^{\left (6\right )}-y = {\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
68.467 |
|
|
\[ {}y^{\left (6\right )}+2 y^{\prime \prime \prime \prime }+y^{\prime \prime } = x +{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.286 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime } = 2 x^{2}+3 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.796 |
|
|
\[ {}y^{\prime \prime \prime } = 1 \] |
1 |
1 |
1 |
[[_3rd_order, _quadrature]] |
✓ |
✓ |
0.174 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.57 |
|
|
\[ {}3 y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.479 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 5 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.205 |
|
|
\[ {}y^{\prime \prime \prime } = 2 y^{\prime \prime }-4 y^{\prime }+\sin \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.964 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.243 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.305 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.244 |
|
|
\[ {}y^{\prime \prime \prime }-3 a y^{\prime \prime }+3 a^{2} y^{\prime }-a^{3} y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.154 |
|
|
\[ {}y^{\left (5\right )}-4 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.276 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.745 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.362 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.596 |
|
|
\[ {}y^{\prime \prime \prime \prime }-a^{4} y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.177 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 2 x +3 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.585 |
|
|
\[ {}y^{\prime \prime \prime \prime }-a^{4} y = 5 a^{4} {\mathrm e}^{x a} \sin \left (x a \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.258 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 8 \cos \left (x a \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.906 |
|
|
\[ {}y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.266 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.589 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }+6 y^{\prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.373 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.372 |
|
|
\[ {}y^{\prime \prime \prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.874 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+8 y^{\prime \prime }-8 y^{\prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.187 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.595 |
|
|
\[ {}36 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }-11 y^{\prime \prime }+2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.45 |
|
|
\[ {}y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.406 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+35 y^{\prime \prime }+16 y^{\prime }-52 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.63 |
|
|
\[ {}y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.238 |
|
|
\[ {}y^{\prime \prime \prime }+\left (-3-4 i\right ) y^{\prime \prime }+\left (-4+12 i\right ) y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.221 |
|
|
\[ {}y^{\prime \prime \prime \prime }+\left (-3-i\right ) y^{\prime \prime \prime }+\left (4+3 i\right ) y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.204 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 2 \,{\mathrm e}^{x}-4 \,{\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.326 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 24 x^{2}-6 x +14+32 \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.846 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3+\cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.311 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 6 x -20-120 \,{\mathrm e}^{x} x^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.323 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+21 y^{\prime }-26 y = 36 \,{\mathrm e}^{2 x} \sin \left (3 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.947 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = \left (2 x^{2}+4 x +8\right ) \cos \left (x \right )+\left (6 x^{2}+8 x +12\right ) \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.184 |
|
|
\[ {}y^{\left (6\right )}-12 y^{\left (5\right )}+63 y^{\prime \prime \prime \prime }-18 y^{\prime \prime \prime }+315 y^{\prime \prime }-300 y^{\prime }+125 y = {\mathrm e}^{x} \left (48 \cos \left (x \right )+96 \sin \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
66.164 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }+12 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.447 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.349 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 2 \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.343 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3 x +4 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.609 |
|
|
\[ {}y^{\prime \prime \prime \prime } = 1 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.167 |
|
|
\[ {}y^{\prime \prime \prime } = y^{\prime \prime } \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.199 |
|
|
\[ {}y^{\prime \prime \prime \prime } = -2 y^{\prime \prime \prime } \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.233 |
|
|
\[ {}y^{\prime \prime \prime } = y^{\prime \prime } \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.386 |
|
|
\[ {}y^{\prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.535 |
|
|
\[ {}y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime }-83 y-25 = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
66.16 |
|
|
\[ {}y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.199 |
|
|
\[ {}y^{\prime \prime \prime }-9 y^{\prime \prime }+27 y^{\prime }-27 y = {\mathrm e}^{3 x} \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.303 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+24 y^{\prime \prime }-32 y^{\prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.204 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.679 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.829 |
|
|
\[ {}y^{\prime \prime \prime }-9 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.233 |
|
|
\[ {}y^{\prime \prime \prime \prime }-10 y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.286 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.238 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.326 |
|
|
\[ {}y^{\prime \prime \prime \prime }-34 y^{\prime \prime }+225 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.294 |
|
|
\[ {}y^{\prime \prime \prime \prime }-81 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.357 |
|
|
\[ {}y^{\prime \prime \prime \prime }-18 y^{\prime \prime }+81 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.357 |
|
|
\[ {}y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.159 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.303 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.239 |
|
|
\[ {}y^{\prime \prime \prime }-8 y^{\prime \prime }+37 y^{\prime }-50 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.369 |
|
|
\[ {}y^{\prime \prime \prime }-9 y^{\prime \prime }+31 y^{\prime }-39 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.366 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+2 y^{\prime \prime }+4 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.396 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }+18 y^{\prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.426 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.596 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.343 |
|
|
\[ {}y^{\prime \prime \prime \prime }+26 y^{\prime \prime }+25 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.199 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+9 y^{\prime \prime }+9 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.816 |
|
|
\[ {}y^{\prime \prime \prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.497 |
|
|
\[ {}y^{\prime \prime \prime }+216 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.546 |
|
|
\[ {}y^{\prime \prime \prime \prime }-3 y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.346 |
|
|
\[ {}y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.547 |
|
|
\[ {}y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.157 |
|
|
\[ {}y^{\left (6\right )}-2 y^{\prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.184 |
|
|
\[ {}16 y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.383 |
|
|
\[ {}4 y^{\prime \prime \prime \prime }+15 y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.362 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+16 y^{\prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.143 |
|
|
\[ {}y^{\left (6\right )}+16 y^{\prime \prime \prime }+64 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.181 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.707 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 12 \,{\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.217 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 10 \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.24 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 32 \,{\mathrm e}^{4 x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.222 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime } = 32 x \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.215 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.5 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 30 \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.134 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 6 \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.204 |
|
|
\[ {}y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} {\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.286 |
|
|
\[ {}y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} \sin \left (3 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.122 |
|
|
\[ {}y^{\left (5\right )}+18 y^{\prime \prime \prime }+81 y^{\prime } = x^{2} {\mathrm e}^{3 x} \sin \left (3 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.657 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 30 x \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.895 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 3 x \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.313 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 3 x \,{\mathrm e}^{x} \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.799 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = 5 x^{5} {\mathrm e}^{2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.487 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime } = 30 \,{\mathrm e}^{3 x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.567 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \tan \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
6.913 |
|
|
\[ {}y^{\prime \prime \prime \prime }-81 y = \sinh \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
5.175 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.375 |
|
|
\[ {}y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }+13 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.478 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime } = 8 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.616 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.348 |
|
|
\[ {}y^{\prime \prime \prime }+8 y = {\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.844 |
|
|
\[ {}y^{\left (6\right )}-64 y = {\mathrm e}^{-2 x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
68.905 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+5 y^{\prime }+y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
68.348 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.353 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.351 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.709 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.779 |
|
|
\[ {}y^{\prime \prime \prime \prime }+\frac {25 y^{\prime \prime }}{2}-5 y^{\prime }+\frac {629 y}{16} = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
2.489 |
|
|
\[ {}y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _quadrature]] |
✓ |
✓ |
0.247 |
|
|
\[ {}y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.362 |
|
|
\[ {}8 y^{\prime \prime \prime }+y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.292 |
|
|
\[ {}y^{\prime \prime \prime \prime }+16 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.44 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.309 |
|
|
\[ {}3 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.333 |
|
|
\[ {}6 y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.331 |
|
|
|
||||||||
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.378 |
|
|
\[ {}5 y^{\prime \prime \prime }-15 y^{\prime }+11 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.82 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.283 |
|
|
\[ {}y^{\prime \prime \prime \prime }-9 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.324 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.445 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }-y^{\prime \prime }+54 y^{\prime }-72 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.372 |
|
|
\[ {}y^{\prime \prime \prime \prime }+7 y^{\prime \prime \prime }+6 y^{\prime \prime }-32 y^{\prime }-32 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.408 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.552 |
|
|
\[ {}y^{\left (5\right )}+4 y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.324 |
|
|
\[ {}y^{\left (5\right )}+4 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.448 |
|
|
\[ {}y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.214 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.215 |
|
|
\[ {}y^{\prime \prime \prime \prime }+8 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.22 |
|
|
\[ {}y^{\left (6\right )}+3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.235 |
|
|
\[ {}y^{\left (6\right )}+12 y^{\prime \prime \prime \prime }+48 y^{\prime \prime }+64 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.239 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.457 |
|
|
\[ {}y^{\prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.256 |
|
|
\[ {}y^{\prime \prime \prime \prime }+16 y^{\prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.584 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.733 |
|
|
\[ {}24 y^{\prime \prime \prime }-26 y^{\prime \prime }+9 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.561 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.664 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.941 |
|
|
\[ {}8 y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+66 y^{\prime \prime \prime }-41 y^{\prime \prime }-37 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.342 |
|
|
\[ {}2 y^{\left (5\right )}+7 y^{\prime \prime \prime \prime }+17 y^{\prime \prime \prime }+17 y^{\prime \prime }+5 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.315 |
|
|
\[ {}y^{\left (5\right )}+8 y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.637 |
|
|
\[ {}y^{\left (6\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.652 |
|
|
\[ {}y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.462 |
|
|
\[ {}y^{\prime \prime \prime \prime }+12 y^{\prime \prime \prime }+60 y^{\prime \prime }+124 y^{\prime }+75 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.533 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.985 |
|
|
\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+30 y^{\prime \prime }-56 y^{\prime }+49 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.968 |
|
|
\[ {}\frac {31 y^{\prime \prime \prime }}{100}+\frac {56 y^{\prime \prime }}{5}-\frac {49 y^{\prime }}{5}+\frac {53 y}{10} = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
9.282 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{t} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.25 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
2.335 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime } = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.288 |
|
|
\[ {}y^{\prime \prime \prime \prime }+9 y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.351 |
|
|
\[ {}y^{\prime \prime \prime \prime }+9 y^{\prime \prime } = 9 \,{\mathrm e}^{3 t} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.354 |
|
|
\[ {}y^{\prime \prime \prime }+10 y^{\prime \prime }+34 y^{\prime }+40 y = t \,{\mathrm e}^{-4 t}+2 \,{\mathrm e}^{-3 t} \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.13 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 2 \,{\mathrm e}^{-3 t}-t \,{\mathrm e}^{-t} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.907 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-24 y^{\prime }+36 y = 108 t \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
3.791 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }-14 y^{\prime }-104 y = -111 \,{\mathrm e}^{t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
2.122 |
|
|
\[ {}y^{\prime \prime \prime \prime }-10 y^{\prime \prime \prime }+38 y^{\prime \prime }-64 y^{\prime }+40 y = 153 \,{\mathrm e}^{-t} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
3.254 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = \tan \left (2 t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
36.872 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = \sec \left (2 t \right ) \tan \left (2 t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
8.023 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = \sec \left (2 t \right )^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.172 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = \tan \left (2 t \right )^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.327 |
|
|
\[ {}y^{\prime \prime \prime }+9 y^{\prime } = \sec \left (3 t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
10.88 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = -\sec \left (t \right ) \tan \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
6.128 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = \sec \left (2 t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
6.538 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime } = -\frac {1}{t^{2}}-\frac {2}{t} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.48 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = \frac {{\mathrm e}^{t}}{t} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.383 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime \prime }-11 y^{\prime }+30 y = {\mathrm e}^{4 t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.827 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-10 y^{\prime }-24 y = {\mathrm e}^{-3 t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.824 |
|
|
\[ {}y^{\prime \prime \prime }-13 y^{\prime }+12 y = \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.013 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.822 |
|
|
\[ {}y^{\left (6\right )}+y^{\prime \prime \prime \prime } = -24 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.375 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = \tan \left (t \right )^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.138 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime } = 3 t^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.507 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = \sec \left (t \right )^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
2.826 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = \sec \left (t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
4.151 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
1.326 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = t \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.818 |
|
|
\[ {}2 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.329 |
|
|
\[ {}9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.503 |
|
|
\[ {}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.5 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }+5 y = {\mathrm e}^{t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.766 |
|
|
\[ {}y^{\prime \prime \prime }-12 y^{\prime }-16 y = {\mathrm e}^{4 t}-{\mathrm e}^{-2 t} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.961 |
|
|
\[ {}y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+18 y^{\prime \prime }+30 y^{\prime }+25 y = {\mathrm e}^{-t} \cos \left (2 t \right )+{\mathrm e}^{-2 t} \sin \left (t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
53.383 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+14 y^{\prime \prime }+20 y^{\prime }+25 y = t^{2} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.361 |
|
|
\[ {}y^{\prime \prime \prime \prime } = x \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.132 |
|
|
\[ {}y^{\prime \prime \prime } = x +\cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _quadrature]] |
✓ |
✓ |
0.182 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.217 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.198 |
|
|
\[ {}y^{\left (6\right )}+2 y^{\left (5\right )}+y^{\prime \prime \prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.279 |
|
|
\[ {}y^{\prime \prime \prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.368 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+10 y^{\prime \prime }+12 y^{\prime }+5 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.409 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+4 y^{\prime \prime }-2 y^{\prime }-5 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.322 |
|
|
\[ {}y^{\left (5\right )}+4 y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-6 y^{\prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.357 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.201 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.244 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.253 |
|
|
\[ {}y^{\left (5\right )} = 0 \] |
1 |
1 |
1 |
[[_high_order, _quadrature]] |
✓ |
✓ |
0.184 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.242 |
|
|
\[ {}2 y^{\prime \prime \prime }-3 y^{\prime \prime }+y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.198 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.296 |
|
|
\[ {}y^{\prime \prime \prime }+y = x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
2.342 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y = 1 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.644 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime } = 2 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.754 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = 3 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.157 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.75 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime } = 2 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
2.664 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime } = 3 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.184 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = 4 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.191 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+4 y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.201 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{4 x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.204 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = {\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.207 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+y^{\prime \prime } = x \,{\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.232 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.296 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.25 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime }+4 y = x \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.345 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = a \sin \left (n x +\alpha \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.625 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 n^{2} y^{\prime \prime }+n^{4} y = \cos \left (n x +\alpha \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.297 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.24 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.229 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.237 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.153 |
|
|
\[ {}5 y^{\prime \prime \prime }-7 y^{\prime \prime } = 3 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.168 |
|
|
\[ {}y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime } = -6 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.184 |
|
|
\[ {}3 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 2 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.184 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 1 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
2.198 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = x^{2}+x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.436 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
1.724 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y^{\prime \prime } = x^{2}+x \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.234 |
|
|
\[ {}y^{\prime \prime \prime }-y = \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.694 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.234 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} \cos \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.241 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime } = 1+{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.187 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.992 |
|
|
\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = x \,{\mathrm e}^{x}+\frac {\cos \left (x \right )}{2} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
7.379 |
|
|
\[ {}y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime } = {\mathrm e}^{x}+3 \sin \left (2 x \right )+1 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.35 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 2 x +{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.169 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 4 x +3 \sin \left (x \right )+\cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.71 |
|
|
\[ {}y^{\prime \prime \prime }-4 y^{\prime } = {\mathrm e}^{2 x} x +\sin \left (x \right )+x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.459 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime } = x \,{\mathrm e}^{x}-1 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.17 |
|
|
\[ {}y^{\left (5\right )}-y^{\prime \prime \prime } = x +2 \,{\mathrm e}^{-x} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.174 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime } = -2 x \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.539 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
1.296 |
|
|
\[ {}y^{\prime \prime \prime }-y = 2 x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.396 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
1.104 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = \frac {-1+x}{x^{3}} \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.315 |
|
|
|
||||||||
|
|
||||||||
|
|