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# |
ODE |
CAS classification |
Solved? |
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\[
{}\left (x +y\right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}{y^{\prime }}^{3}+\left (x +y-2 x y\right ) {y^{\prime }}^{2}-2 y^{\prime } x y \left (x +y\right ) = 0
\] |
[_quadrature] |
✓ |
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\[
{}\left (\sin \left (y\right )^{2}+x \cot \left (y\right )\right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}y^{\prime } \sqrt {X} = 0
\] |
[_quadrature] |
✓ |
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\[
{}{y^{\prime }}^{2}-2 x^{2} y^{\prime }+2 x y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}\left (x^{2}-a y\right ) {y^{\prime }}^{2}-2 x y y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}{y^{\prime }}^{3}+\left (2 x -y^{2}\right ) {y^{\prime }}^{2}-2 x y^{2} y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}{y^{\prime }}^{3} \left (x +2 y\right )+3 {y^{\prime }}^{2} \left (x +y\right )+\left (2 x +y\right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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|
\[
{}\left (x +y\right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}x y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}\frac {y^{\prime }}{x +y} = 0
\] |
[_quadrature] |
✓ |
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\[
{}\frac {y^{\prime }}{x} = 0
\] |
[_quadrature] |
✓ |
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\[
{}y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}c y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}a \sin \left (x \right ) y x y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}f \left (x \right ) \sin \left (x \right ) y x y^{\prime } \pi = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}x y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}5 y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
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\[
{}{\mathrm e} y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}\pi y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}\sin \left (x \right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}f \left (x \right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}\left (x -1\right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
|
\[
{}y^{\prime } y = 0
\] |
[_quadrature] |
✓ |
|
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\[
{}x y y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
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\[
{}x y \sin \left (x \right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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|
\[
{}\pi y \sin \left (x \right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
|
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\[
{}x \sin \left (x \right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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\[
{}y^{3} {y^{\prime \prime }}^{2}+y^{\prime } y = 0
\] |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
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\[
{}y {y^{\prime \prime }}^{3}+y^{\prime } y^{3} = 0
\] |
[[_2nd_order, _missing_x]] |
✓ |
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\[
{}x \left (a y^{\prime }+b y^{\prime \prime }+c y^{\prime \prime \prime }+e y^{\prime \prime \prime \prime }\right ) y = 0
\] |
[[_high_order, _missing_x]] |
✓ |
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\[
{}2 y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime }}^{2} = 0
\] |
[[_3rd_order, _missing_x]] |
✓ |
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\[
{}{y^{\prime }}^{3}-y^{\prime } {\mathrm e}^{2 x} = 0
\] |
[_quadrature] |
✓ |
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\[
{}\frac {y^{\prime }}{\frac {x}{y}-\sin \left (y\right )} = 0
\] |
[_quadrature] |
✓ |
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\[
{}{y^{\prime }}^{3}+2 x {y^{\prime }}^{2}-y^{2} {y^{\prime }}^{2}-2 x y^{2} y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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|
\[
{}{y^{\prime }}^{3} \left (x +2 y\right )+3 {y^{\prime }}^{2} \left (x +y\right )+\left (2 x +y\right ) y^{\prime } = 0
\] |
[_quadrature] |
✓ |
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