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) |
|
\[ {}y = y^{\prime }+\frac {{y^{\prime }}^{2}}{2} \] |
2 |
2 |
2 |
quadrature |
[_quadrature] |
✓ |
✓ |
1.148 |
|
|
\[ {}\left (y-x y^{\prime }\right )^{2} = 1+{y^{\prime }}^{2} \] |
2 |
4 |
4 |
clairaut |
[[_1st_order, _with_linear_symmetries], _rational, _Clairaut] |
✓ |
✓ |
0.375 |
|
|
\[ {}y-x = {y^{\prime }}^{2} \left (1-\frac {2 y^{\prime }}{3}\right ) \] |
3 |
3 |
3 |
dAlembert |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
2.214 |
|
|
\[ {}x^{2} y^{\prime } = x \left (y-1\right )+\left (y-1\right )^{2} \] |
1 |
1 |
1 |
riccati, homogeneousTypeMapleC, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _rational, _Riccati] |
✓ |
✓ |
1.263 |
|
|
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