|
ODE type |
Count |
MMA |
Maple |
Sympy |
|
first_order_ode_linear |
\(1599\) |
100.00 |
100.00 |
95.18 |
|
first_order_ode_separable |
\(1377\) |
99.20 |
99.78 |
92.74 |
|
first_order_ode_poly |
\(335\) |
99.10 |
99.70 |
81.79 |
|
first_order_ode_homogA |
\(1050\) |
99.43 |
99.90 |
79.52 |
|
first_order_ode_homogC |
\(34\) |
100.00 |
100.00 |
94.12 |
|
first_order_ode_homogD |
\(1299\) |
99.77 |
99.92 |
84.06 |
|
first_order_ode_homogD2 |
\(1299\) |
99.77 |
99.92 |
84.06 |
|
first_order_ode_homog_maple_C |
\(1101\) |
99.64 |
99.82 |
79.65 |
|
first_order_ode_bernoulli |
\(1017\) |
99.90 |
99.61 |
93.71 |
|
first_order_ode_exact |
\(4705\) |
99.28 |
99.62 |
84.34 |
|
first_order_ode_clairaut |
\(154\) |
99.35 |
100.00 |
35.71 |
|
first_order_ode_dAlembert |
\(1660\) |
97.89 |
99.94 |
75.90 |
|
first_order_ode_isobaric |
\(1551\) |
98.65 |
99.55 |
77.56 |
|
first_order_ode_abel |
\(40\) |
97.50 |
100.00 |
45.00 |
|
first_order_ode_quadrature |
\(447\) |
99.55 |
100.00 |
97.09 |
|
first_order_ode_autonomous |
\(546\) |
97.62 |
99.63 |
86.81 |
|
first_order_ode_lie_symmetry |
\(3836\) |
99.22 |
99.71 |
84.05 |
|
first_order_ode_ID_1 |
\(63\) |
100.00 |
100.00 |
96.83 |
|
first_order_ode_nonlinear_p_but_separable |
\(34\) |
100.00 |
100.00 |
82.35 |
|
first_order_ode_riccati |
\(585\) |
94.87 |
98.80 |
42.05 |
|
first_order_ode_reduced_riccati |
\(55\) |
100.00 |
100.00 |
16.36 |
|
first_order_ode_time_varying_using_laplace |
\(14\) |
85.71 |
92.86 |
92.86 |
|
first_order_ode_constant_coeff_using_laplace |
\(80\) |
100.00 |
100.00 |
88.75 |
|
first_order_ode_flip_role |
\(24\) |
95.83 |
95.83 |
45.83 |
|
second_order_linear_constant_coeff |
\(2268\) |
99.91 |
100.00 |
98.41 |
|
second_order_euler_ode |
\(559\) |
100.00 |
100.00 |
94.81 |
|
second_order_nonlinear_exact_ode |
\(47\) |
95.74 |
100.00 |
10.64 |
|
second_order_linear_exact_ode |
\(446\) |
99.33 |
100.00 |
80.04 |
|
second_order_ode_missing_x |
\(349\) |
95.70 |
99.43 |
23.78 |
|
second_order_ode_missing_y |
\(479\) |
98.75 |
99.79 |
87.27 |
|
second_order_integrable_as_is |
\(522\) |
97.70 |
100.00 |
69.16 |
|
second_order_integrable_as_is_ABC |
\(521\) |
97.70 |
100.00 |
69.29 |
|
second_order_ode_can_be_made_integrable |
\(228\) |
100.00 |
100.00 |
92.54 |
|
second_order_ode_solved_by_an_integrating_factor |
\(447\) |
100.00 |
100.00 |
89.49 |
|
second_order_airy |
\(29\) |
100.00 |
100.00 |
44.83 |
|
second_order_change_of_variable_on_x_method_2 |
\(629\) |
99.84 |
99.84 |
77.90 |
|
second_order_change_of_variable_on_x_method_1 |
\(466\) |
100.00 |
99.79 |
77.04 |
|
second_order_change_of_variable_on_y_method_1 |
\(206\) |
99.51 |
100.00 |
50.97 |
|
second_order_change_of_variable_on_y_method_2 |
\(588\) |
99.49 |
99.83 |
80.10 |
|
second_order_nonlinear_solved_by_mainardi_lioville_method |
\(33\) |
100.00 |
100.00 |
24.24 |
|
second_order_ode_non_constant_coeff_transformation_on_B |
\(250\) |
99.20 |
100.00 |
65.60 |
|
second_order_bessel_ode |
\(238\) |
100.00 |
100.00 |
65.55 |
|
second_order_bessel_ode_form_A |
\(10\) |
100.00 |
100.00 |
0.00 |
|
second_order_kovacic |
\(4344\) |
99.84 |
100.00 |
74.08 |
|
second_order_adjoint |
\(3147\) |
99.81 |
100.00 |
83.32 |
|
second_order_ode_constant_coeff_using_laplace |
\(488\) |
100.00 |
99.80 |
93.44 |
|
second_order_ode_time_varying_using_laplace |
\(10\) |
90.00 |
100.00 |
40.00 |
|
second_order_ode_flip_role |
\(20\) |
85.00 |
90.00 |
0.00 |
|
reduction_of_order |
\(214\) |
98.13 |
98.60 |
57.48 |
|
higher_order_constant_coeff |
\(971\) |
100.00 |
99.90 |
98.56 |
|
higher_order_Euler_ode |
\(156\) |
100.00 |
100.00 |
96.79 |
|
higher_order_ode_constant_coeff_using_laplace |
\(52\) |
100.00 |
100.00 |
98.08 |
|
higher_order_ode_exact |
\(65\) |
100.00 |
100.00 |
53.85 |
|
higher_order_missing_y |
\(37\) |
100.00 |
97.30 |
40.54 |