|
# |
ODE |
Mathematica |
Maple |
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = \left (x +y^{\prime }\right )^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = 2 y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y = 3 {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}r y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}z^{\prime \prime }+z^{3} = 0
\] |
✓ |
✓ |
|
|
\[
{}z^{\prime \prime }+z+z^{5} = 0
\] |
✓ |
✓ |
|
|
\[
{}z^{\prime \prime }+\frac {z}{1+z^{2}} = 0
\] |
✓ |
✓ |
|
|
\[
{}z^{\prime \prime }+z-2 z^{3} = 0
\] |
✓ |
✓ |
|
|
\[
{}x^{\prime \prime } = \frac {k^{2}}{x^{2}}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = {y^{\prime }}^{2}+y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+y y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+2 {y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}2 y^{\prime \prime } y-{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+y^{\prime } = {y^{\prime }}^{3}
\] |
✓ |
✓ |
|
|
\[
{}\left (1+y\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}2 y^{\prime \prime } = {\mathrm e}^{y}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = y^{3}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = {y^{\prime }}^{2} \cos \left (x \right )
\] |
✗ |
✗ |
|
|
\[
{}y^{\prime \prime } y-y^{\prime } y^{2} = {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y = y^{3}+{y^{\prime }}^{2}
\] |
✗ |
✓ |
|
|
\[
{}\left (1+{y^{\prime }}^{2}\right )^{2} = y^{2} y^{\prime \prime }
\] |
✗ |
✗ |
|
|
\[
{}y^{\prime \prime } = {y^{\prime }}^{2} \sin \left (x \right )
\] |
✓ |
✗ |
|
|
\[
{}2 y^{\prime \prime } y = y^{3}+2 {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y = 2 {y^{\prime }}^{2}+y^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+{y^{\prime }}^{2}+y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y-y y^{\prime } = {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y-y^{\prime } y^{2}-{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}\left (1+y^{2}\right ) y^{\prime \prime }+{y^{\prime }}^{3}+y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = 2 y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}\left (1+y\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}r^{\prime \prime } = -\frac {k}{r^{2}}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = \frac {3 k y^{2}}{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = 2 k y^{3}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2}-y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}r^{\prime \prime } = \frac {h^{2}}{r^{3}}-\frac {k}{r^{2}}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{3}-{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y-3 {y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}\left (1+y\right ) y^{\prime \prime } = 3 {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = y^{\prime } {\mathrm e}^{y}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = 2 y y^{\prime }
\] |
✗ |
✓ |
|
|
\[
{}2 y^{\prime \prime } = {\mathrm e}^{y}
\] |
✓ |
✓ |
|
|
\[
{}x y y^{\prime \prime }-2 x {y^{\prime }}^{2}+y y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}x y y^{\prime \prime }-2 x {y^{\prime }}^{2}+\left (1+y\right ) y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}\left (1+{y^{\prime }}^{2}\right )^{3} = a^{2} {y^{\prime \prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+y y^{\prime } = 0
\] |
✗ |
✓ |
|
|
\[
{}y^{\prime \prime }+y y^{\prime } = 0
\] |
✗ |
✓ |
|
|
\[
{}y^{\prime \prime }+y y^{\prime } = 0
\] |
✗ |
✓ |
|
|
\[
{}y^{\prime \prime }+y y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}2 y^{\prime \prime } y = {y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}x y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}{y^{\prime \prime }}^{2} = k^{2} \left (1+{y^{\prime }}^{2}\right )
\] |
✓ |
✓ |
|
|
\[
{}x \left (y^{\prime \prime } y+{y^{\prime }}^{2}\right ) = y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{3} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{3} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y = {y^{\prime }}^{2} \left (1-y^{\prime } \cos \left (y\right )+y y^{\prime } \sin \left (y\right )\right )
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y-{y^{\prime }}^{2} = y^{2} \ln \left (y\right )
\] |
✓ |
✓ |
|
|
\[
{}2 \left (1+y\right ) y^{\prime \prime }+2 {y^{\prime }}^{2}+y^{2}+2 y = 0
\] |
✓ |
✓ |
|
|
\[
{}u^{\prime \prime }+u^{\prime }+u = \cos \left (r +u\right )
\] |
✗ |
✗ |
|
|
\[
{}y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
✓ |
✓ |
|
|
\[
{}R^{\prime \prime } = -\frac {k}{R^{2}}
\] |
✓ |
✓ |
|
|
\[
{}x^{\prime \prime }-\left (1-\frac {{x^{\prime }}^{2}}{3}\right ) x^{\prime }+x = 0
\] |
✗ |
✗ |
|
|
\[
{}2 y^{\prime \prime }-3 y^{2} = 0
\] |
✗ |
✓ |
|
|
\[
{}y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\] |
✓ |
✓ |
|
|
\[
{}x^{2} y y^{\prime \prime } = x^{2} {y^{\prime }}^{2}-y^{2}
\] |
✓ |
✓ |
|
|
\[
{}x x^{\prime \prime }-{x^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y-y^{\prime } y^{2}-{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+4 {y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = y y^{\prime }
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = -\frac {1}{2 {y^{\prime }}^{2}}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+\sin \left (y\right ) = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+\sin \left (y\right ) = 0
\] |
✗ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}x y y^{\prime \prime } = {y^{\prime }}^{3}+y^{\prime }
\] |
✓ |
✗ |
|
|
\[
{}x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y-{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}\left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y = y^{\prime } y^{2}+{y^{\prime }}^{2}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = y^{\prime } {\mathrm e}^{y}
\] |
✗ |
✓ |
|
|
\[
{}y^{\prime \prime } y-{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}x y^{\prime \prime } = y^{\prime }-2 {y^{\prime }}^{3}
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime }+\sin \left (y\right ) = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } = x {y^{\prime }}^{3}
\] |
✓ |
✓ |
|
|
\[
{}x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}x^{2} y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime } = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{\prime \prime } y+{y^{\prime }}^{2} = 0
\] |
✓ |
✓ |
|
|
\[
{}y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\] |
✓ |
✓ |
|
|
\[
{}\left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\] |
✓ |
✓ |
|