Number of problems in this table is 43
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) |
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.107 |
|
|
\[ {}y^{\prime \prime } = \cos \left (t \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.969 |
|
|
\[ {}x y^{\prime \prime } = x^{2}+1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.438 |
|
|
\[ {}y^{\prime \prime } = \sec \left (x \right ) \tan \left (x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
3.814 |
|
|
\[ {}y^{\prime \prime } = x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.664 |
|
|
\[ {}y^{\prime \prime } = x^{n} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.662 |
|
|
\[ {}y^{\prime \prime } = \cos \left (x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.073 |
|
|
\[ {}y^{\prime \prime } = x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.981 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.694 |
|
|
\[ {}y^{\prime \prime } = 9 x^{2}+2 x -1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.609 |
|
|
\[ {}y^{\prime \prime } = 2+x \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.586 |
|
|
\[ {}y^{\prime \prime } = 1+3 x \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.64 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.586 |
|
|
\[ {}y^{\prime \prime } = \tan \left (x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
20.485 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.726 |
|
|
\[ {}y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.167 |
|
|
\[ {}y^{\prime \prime } = f \left (t \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.664 |
|
|
\[ {}y^{\prime \prime } = k \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.232 |
|
|
\[ {}y^{\prime \prime } = 4 \sin \left (x \right )-4 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
2.115 |
|
|
\[ {}y y^{\prime \prime } = 0 \] |
1 |
1 |
2 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.132 |
|
|
\[ {}y^{2} y^{\prime \prime } = 0 \] |
1 |
1 |
2 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.135 |
|
|
\[ {}a y y^{\prime \prime }+b y = 0 \] |
1 |
1 |
2 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.237 |
|
|
\[ {}y^{\prime \prime } = \frac {1}{x} \] |
1 |
0 |
0 |
[[_2nd_order, _quadrature]] |
✗ |
N/A |
0.247 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
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 |
|
|
\[ {}y^{\prime \prime } = x \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.036 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.749 |
|
|
\[ {}y^{\prime \prime } = x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.692 |
|
|
\[ {}x^{\prime \prime } = -3 \sqrt {t} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.354 |
|
|
\[ {}y^{\prime \prime } = \frac {1+x}{-1+x} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.842 |
|
|
\[ {}x^{2} y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.615 |
|
|
\[ {}y^{\prime \prime } = \sin \left (2 x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.073 |
|
|
\[ {}y^{\prime \prime }-3 = x \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.625 |
|
|
\[ {}x y^{\prime \prime }+2 = \sqrt {x} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.524 |
|
|
\[ {}y^{\prime \prime } = 6 x \,{\mathrm e}^{x} \sin \left (x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
2.779 |
|
|
\[ {}y^{\prime \prime } = 0 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.84 |
|
|
\[ {}y^{\prime \prime } = 3 t^{4}-2 t \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.902 |
|
|
\[ {}y^{\prime \prime } = t^{2}+{\mathrm e}^{t}+\sin \left (t \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
3.571 |
|
|
\[ {}\left (-1+x \right ) y^{\prime \prime } = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.053 |
|
|
\[ {}y^{\prime \prime } \left (2+x \right )^{5} = 1 \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.948 |
|
|
\[ {}y^{\prime \prime } = x \,{\mathrm e}^{x} \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
1.001 |
|
|
\[ {}y^{\prime \prime } = 2 x \ln \left (x \right ) \] |
1 |
1 |
1 |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
0.646 |
|
|
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