Number of problems in this table is 96
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) |
|
\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.557 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.668 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.49 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.724 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.232 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.627 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
1.156 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
1.093 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
1.053 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
1.081 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-2 x y^{\prime }+6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
1.099 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 2 x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.556 |
|
|
\[ {}4 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-5 x y^{\prime }+2 y = 30 x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.631 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.553 |
|
|
\[ {}16 x^{4} y^{\prime \prime \prime \prime }+96 x^{3} y^{\prime \prime \prime }+72 x^{2} y^{\prime \prime }-24 x y^{\prime }+9 y = 96 x^{\frac {5}{2}} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.769 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }-4 x^{3} y^{\prime \prime \prime }+12 x^{2} y^{\prime \prime }-24 x y^{\prime }+24 y = x^{4} \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.695 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 12 x^{2} \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.737 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = 4 x \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.31 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-5 x^{2} y^{\prime \prime }+14 x y^{\prime }-18 y = x^{3} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.283 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+16 x y^{\prime }-16 y = 9 x^{4} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.198 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = \left (1+x \right ) x \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.092 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+3 x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 9 x^{2} \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.356 |
|
|
\[ {}4 x^{4} y^{\prime \prime \prime \prime }+24 x^{3} y^{\prime \prime \prime }+23 x^{2} y^{\prime \prime }-x y^{\prime }+y = 6 x \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.06 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+5 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-6 x y^{\prime }+6 y = 40 x^{3} \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.34 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = F \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.614 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = F \left (x \right ) \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.754 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = \frac {1}{x} \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.649 |
|
|
\[ {}4 x^{3} y^{\prime \prime \prime }+8 x^{2} y^{\prime \prime }-x y^{\prime }+y = x +\ln \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.714 |
|
|
\[ {}3 x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-10 x y^{\prime }+10 y = \frac {4}{x^{2}} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.05 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+7 x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }-6 x y^{\prime }-6 y = \cos \left (\ln \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.521 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }-x y^{\prime }+4 y = \sin \left (\ln \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.958 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.342 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-6 x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.375 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = 3 x^{4} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.309 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime } = x +\sin \left (\ln \left (x \right )\right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.463 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = 3 x^{4} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.336 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }-x^{2} y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
73.313 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.467 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.454 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.753 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.801 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.995 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.546 |
|
|
\[ {}x^{4} y^{\prime \prime \prime }+x^{3} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
3.77 |
|
|
\[ {}5 x^{5} y^{\prime \prime \prime \prime }+4 x^{4} y^{\prime \prime \prime }+x^{2} y^{\prime }+x y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
62.378 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y-6 x^{3} \left (-1+x \right ) \ln \left (x \right )+x^{3} \left (x +8\right ) = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.369 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+\ln \left (x \right )+2 x y^{\prime }-y-2 x^{3} = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✗ |
15.638 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+8 x^{3} y^{\prime \prime \prime }+12 x^{2} y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.447 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+8 x^{3} y^{\prime \prime \prime }+12 x^{2} y^{\prime \prime }+a y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.291 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = x \ln \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.353 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+2 y = 10 x +\frac {10}{x} \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.912 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }+3 x y^{\prime }+y = \left (1+\ln \left (x \right )\right )^{2} \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.239 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = \frac {1}{x} \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.335 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _fully, _exact, _linear]] |
✓ |
✓ |
0.45 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.63 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.461 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.516 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _fully, _exact, _linear]] |
✓ |
✓ |
0.53 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-6 x y^{\prime }+18 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.587 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = x^{3} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.412 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.439 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.46 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.517 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-5 x^{2} y^{\prime \prime }+14 x y^{\prime }-18 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.514 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+7 x y^{\prime }-8 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.247 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+9 x y^{\prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.296 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.585 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+2 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.282 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.642 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = x^{3} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.396 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = {\mathrm e}^{-x^{2}} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.522 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 12 x \sin \left (x^{2}\right ) \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.773 |
|
|
\[ {}2 t^{3} y^{\prime \prime \prime }+t^{2} y^{\prime \prime }+t y^{\prime }-y = -3 t^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.793 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+22 x^{2} y^{\prime \prime }+124 x y^{\prime }+140 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.567 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }-46 x y^{\prime }+100 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.564 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.55 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.681 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+2 x y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.665 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-2 x y^{\prime }-2 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.598 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 x y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.341 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-11 x y^{\prime }+16 y = \frac {1}{x^{3}} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.496 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+70 x y^{\prime }+80 y = \frac {1}{x^{13}} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.501 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+10 x^{2} y^{\prime \prime }-20 x y^{\prime }+20 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.826 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+54 x y^{\prime }+42 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.832 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-2 x^{2} y^{\prime \prime }+5 x y^{\prime }-5 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.302 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+17 x y^{\prime }-17 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.346 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+37 x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.673 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.546 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.329 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = -8 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.438 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+79 x y^{\prime }+125 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.75 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+5 x^{3} y^{\prime \prime \prime }-12 x^{2} y^{\prime \prime }-12 x y^{\prime }+48 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.704 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+14 x^{3} y^{\prime \prime \prime }+55 x^{2} y^{\prime \prime }+65 x y^{\prime }+15 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.903 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+8 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+35 x y^{\prime }+45 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
1.339 |
|
|
\[ {}x^{4} y^{\prime \prime \prime \prime }+10 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+21 x y^{\prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _with_linear_symmetries]] |
✓ |
✓ |
0.398 |
|
|
\[ {}x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }+44 x y^{\prime }+58 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.306 |
|
|
|
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|
|
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