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) |
|
\[ {}y^{\prime } = y^{2}-x \] |
1 |
1 |
1 |
first order ode series method. Taylor series method |
[[_Riccati, _special]] |
✓ |
✓ |
4.211 |
|
|
\[ {}y^{\prime } = y^{2}-x \] |
1 |
1 |
1 |
riccati |
[[_Riccati, _special]] |
✓ |
✓ |
10.51 |
|
|
\[ {}y^{\prime }-2 y = x^{2} \] |
1 |
1 |
1 |
first order ode series method. Ordinary point, first order ode series method. Taylor series method |
[[_linear, ‘class A‘]] |
✓ |
✓ |
3.437 |
|
|
\[ {}y^{\prime }-2 y = x^{2} \] |
1 |
1 |
1 |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_linear, ‘class A‘]] |
✓ |
✓ |
1.412 |
|
|
\[ {}y^{\prime } = y+x \,{\mathrm e}^{y} \] |
1 |
1 |
1 |
first order ode series method. Taylor series method |
[‘y=_G(x,y’)‘] |
✓ |
✓ |
3.623 |
|
|
\[ {}y^{\prime } = y+x \,{\mathrm e}^{y} \] |
1 |
0 |
0 |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
0.541 |
|
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