Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.
|
# |
ODE |
A |
B |
C |
Program classification |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}y^{\prime } = 2 \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.062 |
|
|
\[ {}y^{\prime } = 2 \,{\mathrm e}^{3 x} \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.082 |
|
|
\[ {}y^{\prime } = \frac {2}{\sqrt {-x^{2}+1}} \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.306 |
|
|
\[ {}y^{\prime } = {\mathrm e}^{x^{2}} \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.076 |
|
|
\[ {}y^{\prime } = x \,{\mathrm e}^{x^{2}} \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.091 |
|
|
\[ {}y^{\prime } = \arcsin \left (x \right ) \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.09 |
|
|
\[ {}y^{\prime } = x y \] |
1 |
1 |
1 |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
0.436 |
|
|
\[ {}y^{\prime } = x^{2} y^{2} \] |
1 |
1 |
1 |
exact, riccati, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
0.388 |
|
|
\[ {}y^{\prime } = -x \,{\mathrm e}^{y} \] |
1 |
1 |
1 |
exact, separable, first order special form ID 1, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
0.436 |
|
|
\[ {}y^{\prime } \sin \left (y\right ) = x^{2} \] |
1 |
1 |
1 |
exact, separable, differentialType, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
0.825 |
|
|
\[ {}x y^{\prime } = \sqrt {1-y^{2}} \] |
1 |
1 |
1 |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
0.892 |
|
|
\[ {}{y^{\prime }}^{2}-y^{2} = 0 \] |
2 |
1 |
2 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.22 |
|
|
\[ {}{y^{\prime }}^{2}-3 y^{\prime }+2 = 0 \] |
2 |
1 |
2 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.122 |
|
|
\[ {}\left (x^{2}+1\right ) y^{\prime } = 1 \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.096 |
|
|
\[ {}y^{\prime } \sin \left (x \right ) = 1 \] |
1 |
1 |
1 |
quadrature |
[_quadrature] |
✓ |
✓ |
0.128 |
|
|
|
|||||||||
|
|
|||||||||