Number of problems in this table is 29
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) |
|
\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.608 |
|
|
\[ {}y^{\prime \prime \prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
1.06 |
|
|
\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 1-\operatorname {Heaviside}\left (t -\pi \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
6.35 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = \delta \left (-1+t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
3.005 |
|
|
\[ {}y^{\prime \prime \prime }-y = 5 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.527 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.518 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} x^{2} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.309 |
|
|
\[ {}2 y^{\prime \prime \prime }+3 y^{\prime \prime }-3 y^{\prime }-2 y = {\mathrm e}^{-t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.052 |
|
|
\[ {}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = \sin \left (3 t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.597 |
|
|
\[ {}y^{\prime \prime \prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.973 |
|
|
\[ {}y^{\prime \prime \prime }+8 y^{\prime \prime }+16 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.469 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }+13 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.538 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+13 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.54 |
|
|
\[ {}y^{\prime \prime \prime }+4 y^{\prime \prime }+29 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.529 |
|
|
\[ {}y^{\prime \prime \prime }+6 y^{\prime \prime }+25 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.541 |
|
|
\[ {}y^{\prime \prime \prime }-6 y^{\prime \prime }+10 y^{\prime } = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.52 |
|
|
\[ {}y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.692 |
|
|
\[ {}y^{\prime \prime \prime }+y^{\prime \prime }+4 y^{\prime }+4 y = 8 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.167 |
|
|
\[ {}y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 4 t \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.648 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y = 8 \,{\mathrm e}^{2 t}-5 \,{\mathrm e}^{t} \] |
1 |
1 |
1 |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.227 |
|
|
\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = -t^{2}+2 t -10 \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
73.314 |
|
|
\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 12 \operatorname {Heaviside}\left (t \right )-12 \operatorname {Heaviside}\left (-1+t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.646 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = 32 \operatorname {Heaviside}\left (t \right )-32 \operatorname {Heaviside}\left (t -\pi \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
2.746 |
|
|
\[ {}y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x \,{\mathrm e}^{x}-3 x^{2} \] |
1 |
1 |
1 |
[[_high_order, _missing_y]] |
✓ |
✓ |
0.428 |
|
|
\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x +\cos \left (x \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
0.836 |
|
|
\[ {}y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
0.504 |
|
|
\[ {}y^{\prime \prime \prime }-27 y = {\mathrm e}^{-3 t} \] |
1 |
1 |
1 |
[[_3rd_order, _with_linear_symmetries]] |
✓ |
✓ |
2.95 |
|
|
\[ {}y^{\prime \prime \prime }+9 y^{\prime } = \delta \left (-1+t \right ) \] |
1 |
1 |
1 |
[[_3rd_order, _missing_y]] |
✓ |
✓ |
1.954 |
|
|
\[ {}y^{\prime \prime \prime \prime }-16 y = \delta \left (t \right ) \] |
1 |
1 |
1 |
[[_high_order, _linear, _nonhomogeneous]] |
✓ |
✗ |
3.119 |
|
|
|
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