# |
ODE |
CAS classification |
Solved? |
time (sec) |
|
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
67.089 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
4.298 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
5.529 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
1.254 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
6.184 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_y_y1]] |
✓ |
0.750 |
|
|
[[_2nd_order, _missing_x], _Liouville, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
0.694 |
|
|
[[_2nd_order, _missing_y], [_2nd_order, _reducible, _mu_y_y1]] |
✓ |
1.060 |
|
|
[[_2nd_order, _missing_y]] |
✓ |
1.188 |
|
|
[[_2nd_order, _missing_x], _Liouville, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
0.645 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_xy]] |
✓ |
3.135 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _exact, _nonlinear], _Lagerstrom, [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
14.013 |
|
|
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
1.446 |
|
|
[[_2nd_order, _missing_y]] |
✓ |
0.959 |
|
|
[[_2nd_order, _missing_y]] |
✓ |
1.286 |
|
|
[_Liouville, [_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
0.308 |
|
|
[[_2nd_order, _exact, _nonlinear], _Liouville, [_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
1.260 |
|
|
[[_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]] |
✗ |
0.258 |
|
|
[[_homogeneous, ‘class G‘], _rational, _Abel] |
✓ |
3.983 |
|
|
[[_homogeneous, ‘class G‘], _Abel] |
✓ |
2.476 |
|
|
[_Abel] |
✓ |
3.348 |
|
|
[_Abel] |
✗ |
41.888 |
|
|
[_rational, _Abel] |
✗ |
1.212 |
|
|
[_rational, _Abel] |
✗ |
2.636 |
|
|
[_separable] |
✓ |
1.367 |
|
|
[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]] |
✓ |
1.015 |
|
|
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
1.857 |
|
|
[_quadrature] |
✓ |
0.455 |
|
|
[[_linear, ‘class A‘]] |
✓ |
0.831 |
|
|
[[_2nd_order, _missing_x]] |
✓ |
211.332 |
|
|
[_separable] |
✓ |
1.636 |
|
|
[_separable] |
✓ |
1.615 |
|
|
[_separable] |
✓ |
1.858 |
|
|
[_separable] |
✓ |
3.799 |
|
|
[_separable] |
✓ |
1.649 |
|
|
[_quadrature] |
✓ |
3.639 |
|
|
[_separable] |
✓ |
1.863 |
|
|
[_separable] |
✓ |
2.792 |
|
|
[_separable] |
✓ |
2.167 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.846 |
|
|
[[_Emden, _Fowler]] |
✓ |
0.302 |
|
|
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
0.700 |
|
|
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
0.693 |
|
|
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
0.442 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✗ |
0.228 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.777 |
|
|
[[_2nd_order, _exact, _linear, _homogeneous]] |
✓ |
0.739 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.898 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.860 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.817 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.989 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.937 |
|
|
[[_2nd_order, _with_linear_symmetries], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]] |
✓ |
0.593 |
|
|
[_Gegenbauer, [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]] |
✓ |
0.585 |
|
|
[[_Emden, _Fowler]] |
✓ |
0.628 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.561 |
|
|
[[_Emden, _Fowler]] |
✓ |
1.224 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✗ |
0.163 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
1.371 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
1.421 |
|
|
[[_elliptic, _class_I]] |
✓ |
0.604 |
|
|
[[_Emden, _Fowler]] |
✗ |
0.213 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
1.385 |
|
|
[[_elliptic, _class_II]] |
✓ |
0.622 |
|
|
[_Jacobi] |
✓ |
1.544 |
|
|
[[_2nd_order, _linear, _nonhomogeneous]] |
✗ |
0.170 |
|
|
[[_2nd_order, _linear, _nonhomogeneous]] |
✗ |
0.213 |
|
|
[[_2nd_order, _exact, _linear, _nonhomogeneous]] |
✓ |
0.944 |
|
|
[_Jacobi] |
✓ |
0.772 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
1.427 |
|
|
[_Jacobi] |
✓ |
0.766 |
|
|
[_Jacobi] |
✓ |
0.817 |
|
|
[[_2nd_order, _exact, _linear, _homogeneous]] |
✓ |
0.780 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.520 |
|
|
[_rational, _Riccati] |
✓ |
1.968 |
|
|
[[_Emden, _Fowler]] |
✓ |
0.295 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.734 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.692 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.671 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.676 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.787 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.712 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.792 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.694 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.858 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.723 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.636 |
|
|
[[_2nd_order, _with_linear_symmetries]] |
✓ |
0.321 |
|
|
[[_Emden, _Fowler]] |
✓ |
0.298 |
|
|
[[_Emden, _Fowler]] |
✓ |
0.317 |
|
|
[[_Emden, _Fowler]] |
✓ |
0.706 |
|
|
[_quadrature] |
✓ |
0.697 |
|
|
[_separable] |
✓ |
1.588 |
|
|
[_separable] |
✓ |
2.793 |
|
|
[_separable] |
✓ |
3.228 |
|
|
[_separable] |
✓ |
2.390 |
|
|
[_quadrature] |
✓ |
0.777 |
|
|
[_separable] |
✓ |
2.729 |
|
|
[_separable] |
✓ |
2.648 |
|
|
[_separable] |
✓ |
2.086 |
|