These are ode’s that can be make integrable by multiplying the ode by \(y'(x)\).
Number of problems in this table is 188
Column notations: A is ODE degree. B is Program Number of solutions generated. C is CAS Number of solutions generated.
|
# |
ODE |
A |
B |
C |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.06 |
|
|
\[ {}y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.185 |
|
|
\[ {}y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.809 |
|
|
\[ {}y^{\prime \prime }+25 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.093 |
|
|
\[ {}y^{\prime \prime }-4 y = 12 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
3.01 |
|
|
\[ {}y^{\prime \prime }+2 y = 4 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.594 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.984 |
|
|
\[ {}y^{\prime \prime } = \left (-2+2 i \sqrt {3}\right ) y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
3.022 |
|
|
\[ {}4 y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.247 |
|
|
\[ {}4 y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.715 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.232 |
|
|
\[ {}4 y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.939 |
|
|
\[ {}4 y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.548 |
|
|
\[ {}y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
3.127 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.435 |
|
|
\[ {}u^{\prime \prime }+2 u = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.872 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.351 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.031 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.107 |
|
|
\[ {}y^{\prime \prime } = k^{2} y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.309 |
|
|
\[ {}x^{\prime \prime }+k^{2} x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.514 |
|
|
\[ {}y^{\prime \prime } = y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.687 |
|
|
\[ {}2 y^{\prime \prime } = {\mathrm e}^{y} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
75.174 |
|
|
\[ {}y^{\prime \prime } = y^{3} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
7.783 |
|
|
\[ {}x^{\prime \prime }-k^{2} x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.021 |
|
|
\[ {}y^{\prime \prime }-25 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.622 |
|
|
\[ {}y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.777 |
|
|
\[ {}y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.619 |
|
|
\[ {}y^{\prime \prime }-36 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.67 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.059 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.694 |
|
|
\[ {}y^{\prime \prime } = \frac {3 k y^{2}}{2} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
14.666 |
|
|
\[ {}y^{\prime \prime } = 2 k y^{3} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
7.368 |
|
|
\[ {}2 y^{\prime \prime } = {\mathrm e}^{y} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
63.523 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.668 |
|
|
\[ {}y^{\prime \prime } = -4 y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.68 |
|
|
\[ {}y^{\prime \prime } = y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.48 |
|
|
\[ {}x^{\prime \prime }-\omega ^{2} x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.794 |
|
|
\[ {}\frac {x^{\prime \prime }}{2} = -48 x \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
3.251 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.613 |
|
|
\[ {}y^{\prime \prime }+25 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.001 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.848 |
|
|
\[ {}y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.159 |
|
|
\[ {}y^{\prime \prime }+k^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.375 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.197 |
|
|
\[ {}3 y^{\prime \prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.757 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.253 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.586 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.95 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.652 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.816 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.593 |
|
|
\[ {}y^{\prime \prime }+10 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.344 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.71 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.634 |
|
|
\[ {}y^{\prime \prime }+k^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.828 |
|
|
\[ {}y^{\prime \prime }+\sin \left (y\right ) = 0 \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
51.869 |
|
|
\[ {}y^{\prime \prime }+\sin \left (y\right ) = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
133.487 |
|
|
\[ {}y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.396 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.219 |
|
|
\[ {}y^{\prime \prime }-k^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.232 |
|
|
\[ {}y^{\prime \prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.45 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.593 |
|
|
\[ {}y^{\prime \prime } = 4 y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.666 |
|
|
\[ {}y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
14.71 |
|
|
\[ {}y^{\prime \prime } = -3 y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
13.961 |
|
|
\[ {}y^{\prime \prime }+\sin \left (y\right ) = 0 \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
7.572 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.12 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.589 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.682 |
|
|
\[ {}y^{\prime \prime }+\beta ^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.576 |
|
|
\[ {}y^{\prime \prime } = -{\mathrm e}^{-2 y} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
63.49 |
|
|
\[ {}y^{\prime \prime } = -{\mathrm e}^{-2 y} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
62.529 |
|
|
\[ {}2 y^{\prime \prime } = \sin \left (2 y\right ) \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
10.706 |
|
|
\[ {}2 y^{\prime \prime } = \sin \left (2 y\right ) \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
6.464 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.726 |
|
|
\[ {}y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.167 |
|
|
\[ {}y^{\prime \prime } = k \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.232 |
|
|
\[ {}y^{\prime \prime } = A y^{\frac {2}{3}} \] |
1 |
2 |
3 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
2.175 |
|
|
\[ {}y^{\prime \prime }+{\mathrm e}^{y} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
3.547 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.064 |
|
|
\[ {}a y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.092 |
|
|
\[ {}y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.986 |
|
|
\[ {}y^{\prime \prime }+y = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.953 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.749 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.899 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.702 |
|
|
\[ {}y^{\prime \prime }+l y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.927 |
|
|
\[ {}y^{\prime \prime }-y^{2} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
4.3 |
|
|
\[ {}y^{\prime \prime }-6 y^{2} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
7.651 |
|
|
\[ {}y^{\prime \prime }-6 y^{2}+4 y = 0 \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
3.329 |
|
|
\[ {}y^{\prime \prime }-a y^{3} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
1.924 |
|
|
\[ {}y^{\prime \prime }+d +b y^{2}+c y+a y^{3} = 0 \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
68.896 |
|
|
\[ {}y^{\prime \prime }+6 a^{10} y^{11}-y = 0 \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
39.587 |
|
|
\[ {}y^{\prime \prime }-{\mathrm e}^{y} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
1.605 |
|
|
\[ {}y^{\prime \prime }+a \sin \left (y\right ) = 0 \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
2.068 |
|
|
\[ {}y^{\prime \prime }+a y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.442 |
|
|
\[ {}2 y^{\prime \prime } = {\mathrm e}^{y} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
3.118 |
|
|
\[ {}x^{\prime \prime }+9 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.809 |
|
|
\[ {}x^{\prime \prime }-12 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.975 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
0 |
0 |
[[_2nd_order, _missing_x]] |
✗ |
N/A |
2.651 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
0 |
0 |
[[_2nd_order, _missing_x]] |
✗ |
N/A |
1.171 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.199 |
|
|
\[ {}y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.802 |
|
|
\[ {}4 y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.345 |
|
|
\[ {}\theta ^{\prime \prime }+4 \theta = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.032 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.638 |
|
|
\[ {}y^{\prime \prime }+\omega ^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.769 |
|
|
\[ {}y^{\prime \prime } = 3 \sqrt {y} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
38.673 |
|
|
\[ {}y^{\prime \prime } = 2 y^{3} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
3.053 |
|
|
\[ {}y^{\prime \prime }+\alpha ^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.866 |
|
|
\[ {}y^{\prime \prime }-\alpha ^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.759 |
|
|
\[ {}y^{\prime \prime } = a^{2} y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.788 |
|
|
\[ {}y^{\prime \prime } = 9 y \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.745 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.826 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.66 |
|
|
\[ {}x^{\prime \prime }+x-x^{3} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], _Duffing, [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
2.03 |
|
|
\[ {}x^{\prime \prime }+x+x^{3} = 0 \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], _Duffing, [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
1.734 |
|
|
\[ {}x^{\prime \prime } = \left (2 \cos \left (x\right )-1\right ) \sin \left (x\right ) \] |
1 |
2 |
2 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
85.822 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.558 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.774 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.88 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.7 |
|
|
\[ {}y^{\prime \prime }-4 y = 31 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.849 |
|
|
\[ {}y^{\prime \prime }+\alpha y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.414 |
|
|
\[ {}y^{\prime \prime }+2 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.259 |
|
|
\[ {}y^{\prime \prime }+2 y = -3 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.763 |
|
|
\[ {}y^{\prime \prime }+9 y = 6 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.707 |
|
|
\[ {}y^{\prime \prime }+4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.091 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.599 |
|
|
\[ {}y^{\prime \prime }-4 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.792 |
|
|
\[ {}y^{\prime \prime }-25 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.19 |
|
|
\[ {}4 y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.026 |
|
|
\[ {}y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
3.712 |
|
|
\[ {}y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.554 |
|
|
\[ {}y^{\prime \prime }-9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.297 |
|
|
\[ {}y^{\prime \prime }+25 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.431 |
|
|
\[ {}4 y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.109 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.506 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.408 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.925 |
|
|
\[ {}y^{\prime \prime }-9 y = 36 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.493 |
|
|
\[ {}y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.648 |
|
|
\[ {}y^{\prime \prime }-36 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.254 |
|
|
\[ {}y^{\prime \prime }+3 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.802 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.292 |
|
|
\[ {}y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.941 |
|
|
\[ {}y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.305 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.914 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.84 |
|
|
\[ {}4 y^{\prime \prime }+9 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.474 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.194 |
|
|
\[ {}y^{\prime \prime }+8 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.447 |
|
|
\[ {}y^{\prime \prime }+7 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.267 |
|
|
\[ {}y^{\prime \prime }+36 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
8.265 |
|
|
\[ {}y^{\prime \prime }+100 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
14.04 |
|
|
\[ {}y^{\prime \prime }-16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.61 |
|
|
\[ {}y^{\prime \prime }-y = 4 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
5.685 |
|
|
\[ {}y^{\prime \prime }+4 y = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.166 |
|
|
\[ {}y^{\prime \prime }+16 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.389 |
|
|
\[ {}y^{\prime \prime }+25 y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.296 |
|
|
\[ {}4 x^{\prime \prime }+9 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
8.311 |
|
|
\[ {}9 x^{\prime \prime }+4 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
7.336 |
|
|
\[ {}x^{\prime \prime }+64 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
16.018 |
|
|
\[ {}x^{\prime \prime }+100 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
11.646 |
|
|
\[ {}x^{\prime \prime }+x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.997 |
|
|
\[ {}x^{\prime \prime }+4 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.296 |
|
|
\[ {}x^{\prime \prime }+16 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
8.678 |
|
|
\[ {}x^{\prime \prime }+256 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
27.919 |
|
|
\[ {}x^{\prime \prime }+9 x = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.13 |
|
|
\[ {}10 x^{\prime \prime }+\frac {x}{10} = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
6.366 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.675 |
|
|
\[ {}2 y^{\prime \prime } = 3 y^{2} \] |
1 |
2 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
4.26 |
|
|
\[ {}y^{\prime \prime } = {\mathrm e}^{2 y} \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
71.557 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.529 |
|
|
\[ {}y^{\prime \prime }+k^{2} y = k \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.478 |
|
|
\[ {}y^{\prime \prime }+9 y = 9 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.54 |
|
|
\[ {}y^{\prime \prime }-y = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.75 |
|
|
\[ {}y^{\prime \prime }+\lambda y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.363 |
|
|
\[ {}y^{\prime \prime }+\lambda y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.679 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.101 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
0 |
0 |
[[_2nd_order, _missing_x]] |
✗ |
N/A |
1.0 |
|
|
\[ {}y^{\prime \prime }+y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.275 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
4.601 |
|
|
\[ {}y^{\prime \prime }+\alpha ^{2} y = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
111.799 |
|
|
\[ {}y^{\prime \prime }+y = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
3.641 |
|
|
\[ {}y^{\prime \prime }+\lambda ^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
2.908 |
|
|
\[ {}y^{\prime \prime }+\lambda ^{2} y = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
1.921 |
|
|
|
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|
|
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