|
ODE type |
Count |
MMA |
Maple |
Sympy |
|
first_order_ode_linear |
\(1555\) |
100.00 |
100.00 |
95.11 |
|
first_order_ode_separable |
\(1421\) |
99.23 |
99.72 |
92.96 |
|
first_order_ode_homogA |
\(1\) |
100.00 |
100.00 |
100.00 |
|
first_order_ode_homogD |
\(1\) |
100.00 |
100.00 |
100.00 |
|
first_order_ode_homogD2 |
\(1\) |
100.00 |
100.00 |
100.00 |
|
first_order_ode_homog_maple_C |
\(1\) |
100.00 |
100.00 |
100.00 |
|
first_order_ode_bernoulli |
\(1015\) |
99.90 |
99.61 |
93.99 |
|
first_order_ode_exact |
\(4557\) |
99.32 |
99.63 |
84.24 |
|
first_order_ode_clairaut |
\(154\) |
99.35 |
99.35 |
35.71 |
|
first_order_ode_dAlembert |
\(1619\) |
98.09 |
99.94 |
74.92 |
|
first_order_ode_isobaric |
\(1580\) |
98.61 |
99.49 |
77.78 |
|
first_order_ode_abel |
\(72\) |
94.44 |
98.61 |
45.83 |
|
first_order_ode_quadrature |
\(445\) |
99.55 |
100.00 |
97.30 |
|
first_order_ode_autonomous |
\(542\) |
97.60 |
99.63 |
87.45 |
|
first_order_ode_lie_symmetry |
\(2\) |
100.00 |
100.00 |
50.00 |
|
first_order_ode_riccati |
\(619\) |
95.96 |
99.03 |
41.36 |
|
first_order_ode_reduced_riccati |
\(51\) |
100.00 |
100.00 |
17.65 |
|
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 |
\(30\) |
96.67 |
96.67 |
33.33 |
|
second_order_linear_constant_coeff |
\(2258\) |
99.91 |
100.00 |
98.41 |
|
second_order_euler_ode |
\(559\) |
100.00 |
100.00 |
94.81 |
|
second_order_nonlinear_exact_ode |
\(46\) |
95.65 |
100.00 |
8.70 |
|
second_order_linear_exact_ode |
\(446\) |
99.10 |
100.00 |
79.82 |
|
second_order_ode_missing_x |
\(346\) |
95.66 |
99.42 |
23.99 |
|
second_order_ode_missing_y |
\(478\) |
98.74 |
99.79 |
87.24 |
|
second_order_integrable_as_is |
\(521\) |
97.50 |
100.00 |
68.91 |
|
second_order_integrable_as_is_ABC |
\(520\) |
97.50 |
100.00 |
69.04 |
|
second_order_ode_can_be_made_integrable |
\(208\) |
100.00 |
100.00 |
91.83 |
|
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 |
\(631\) |
99.52 |
100.00 |
77.65 |
|
second_order_change_of_variable_on_x_method_1 |
\(467\) |
99.57 |
100.00 |
76.87 |
|
second_order_change_of_variable_on_y_method_1 |
\(208\) |
99.52 |
100.00 |
50.00 |
|
second_order_change_of_variable_on_y_method_2 |
\(528\) |
99.62 |
100.00 |
87.31 |
|
second_order_nonlinear_solved_by_mainardi_lioville_method |
\(33\) |
100.00 |
100.00 |
24.24 |
|
second_order_ode_non_constant_coeff_transformation_on_B |
\(203\) |
100.00 |
100.00 |
79.80 |
|
second_order_bessel_ode |
\(236\) |
100.00 |
100.00 |
66.53 |
|
second_order_bessel_ode_form_A |
\(10\) |
100.00 |
100.00 |
0.00 |
|
second_order_kovacic |
\(4343\) |
99.88 |
100.00 |
74.07 |
|
second_order_adjoint |
\(8\) |
87.50 |
100.00 |
50.00 |
|
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 |
\(17\) |
100.00 |
100.00 |
0.00 |
|
reduction_of_order |
\(208\) |
98.08 |
98.56 |
56.25 |
|
higher_order_constant_coeff |
\(977\) |
100.00 |
99.90 |
98.57 |
|
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 |
94.59 |
40.54 |