Number of problems in this table is 23
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) |
|
\[ {}y^{\prime \prime }+x y = \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.121 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
18.182 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{2} = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
18.117 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
18.792 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
16.68 |
|
|
\[ {}y^{\prime \prime }-2 y^{\prime }-x y-x^{2}-2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
15.119 |
|
|
\[ {}y^{\prime \prime }-4 y^{\prime }-x y-x^{2}-4 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
15.381 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{3}+1 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
19.355 |
|
|
\[ {}y^{\prime \prime }-2 y^{\prime }-x y-x^{3}-x^{2} = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
15.474 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{3}+2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
19.099 |
|
|
\[ {}y^{\prime \prime }-2 y^{\prime }-x y-x^{3}+2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
14.798 |
|
|
\[ {}y^{\prime \prime }-4 y^{\prime }-x y-x^{3}+2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
15.169 |
|
|
\[ {}y^{\prime \prime }-6 y^{\prime }-x y-x^{3}+2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
16.865 |
|
|
\[ {}y^{\prime \prime }-8 y^{\prime }-x y-x^{3}+2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
17.049 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{4}+3 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
19.127 |
|
|
\[ {}y^{\prime \prime }-y^{\prime }-x y-x^{3} = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
16.58 |
|
|
\[ {}y^{\prime \prime }-x y-x^{3}+2 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
10.975 |
|
|
\[ {}y^{\prime \prime }-x y-x^{6}+64 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
14.98 |
|
|
\[ {}y^{\prime \prime }-x y-x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
5.621 |
|
|
\[ {}y^{\prime \prime }-x y-x^{2} = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
7.583 |
|
|
\[ {}y^{\prime \prime }-x y-x^{3} = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
4.599 |
|
|
\[ {}y^{\prime \prime }-x y-x^{6}-x^{3}+42 = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
19.338 |
|
|
\[ {}4 y^{\prime \prime }+9 x y = 0 \] |
1 |
1 |
1 |
[[_Emden, _Fowler]] |
✓ |
✓ |
0.422 |
|
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