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ODE |
Mathematica |
Maple |
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\[
{}\frac {x y}{\sqrt {x^{2}+1}}+2 x y-\frac {y}{x}+\left (\sqrt {x^{2}+1}+x^{2}-\ln \left (x \right )\right ) y^{\prime } = 0
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\[
{}\sin \left (y\right )+y \sin \left (x \right )+\frac {1}{x}+\left (x \cos \left (y\right )-\cos \left (x \right )+\frac {1}{y}\right ) y^{\prime } = 0
\] |
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\[
{}\frac {y+\sin \left (x \right ) \cos \left (x y\right )^{2}}{\cos \left (x y\right )^{2}}+\left (\frac {x}{\cos \left (x y\right )^{2}}+\sin \left (y\right )\right ) y^{\prime } = 0
\] |
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\[
{}\frac {2 x}{y^{3}}+\frac {\left (y^{2}-3 x^{2}\right ) y^{\prime }}{y^{4}} = 0
\] |
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\[
{}y \left (x^{2}+y^{2}+a^{2}\right ) y^{\prime }+x \left (-a^{2}+x^{2}+y^{2}\right ) = 0
\] |
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\[
{}3 x^{2} y+y^{3}+\left (x^{3}+3 x y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}1-x^{2} y+x^{2} \left (y-x \right ) y^{\prime } = 0
\] |
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\[
{}x^{2}+y-x y^{\prime } = 0
\] |
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\[
{}x +y^{2}-2 x y y^{\prime } = 0
\] |
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\[
{}2 x^{2} y+2 y+5+\left (2 x^{3}+2 x \right ) y^{\prime } = 0
\] |
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\[
{}x^{4} \ln \left (x \right )-2 x y^{3}+3 y^{2} y^{\prime } x^{2} = 0
\] |
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\[
{}x +\sin \left (x \right )+\sin \left (y\right )+y^{\prime } \cos \left (y\right ) = 0
\] |
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\[
{}2 x y^{2}-3 y^{3}+\left (7-3 x y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}3 y^{2}-x +\left (2 y^{3}-6 x y\right ) y^{\prime } = 0
\] |
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\[
{}x^{2}+y^{2}+1-2 x y y^{\prime } = 0
\] |
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\[
{}x -x y+\left (x^{2}+y\right ) y^{\prime } = 0
\] |
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\[
{}4 {y^{\prime }}^{2}-9 x = 0
\] |
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\[
{}{y^{\prime }}^{2}-2 y y^{\prime } = y^{2} \left ({\mathrm e}^{2 x}-1\right )
\] |
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\[
{}{y^{\prime }}^{2}-2 x y^{\prime }-8 x^{2} = 0
\] |
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\[
{}x^{2} {y^{\prime }}^{2}+3 x y y^{\prime }+2 y^{2} = 0
\] |
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\[
{}{y^{\prime }}^{2}-\left (y+2 x \right ) y^{\prime }+x^{2}+x y = 0
\] |
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\[
{}{y^{\prime }}^{3}+\left (x +2\right ) {\mathrm e}^{y} = 0
\] |
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\[
{}{y^{\prime }}^{3} = y {y^{\prime }}^{2}-x^{2} y^{\prime }+x^{2} y
\] |
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\[
{}{y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x} = 0
\] |
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\[
{}{y^{\prime }}^{2}-4 x y^{\prime }+2 y+2 x^{2} = 0
\] |
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\[
{}y = {y^{\prime }}^{2} {\mathrm e}^{y^{\prime }}
\] |
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\[
{}y^{\prime } = {\mathrm e}^{\frac {y^{\prime }}{y}}
\] |
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\[
{}x = \ln \left (y^{\prime }\right )+\sin \left (y^{\prime }\right )
\] |
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\[
{}x = {y^{\prime }}^{2}-2 y^{\prime }+2
\] |
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\[
{}y = y^{\prime } \ln \left (y^{\prime }\right )
\] |
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\[
{}y = \left (y^{\prime }-1\right ) {\mathrm e}^{y^{\prime }}
\] |
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\[
{}x {y^{\prime }}^{2} = {\mathrm e}^{\frac {1}{y^{\prime }}}
\] |
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\[
{}x \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} = a
\] |
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\[
{}y^{{2}/{5}}+{y^{\prime }}^{{2}/{5}} = a^{{2}/{5}}
\] |
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\[
{}x = y^{\prime }+\sin \left (y^{\prime }\right )
\] |
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\[
{}y = y^{\prime } \left (1+y^{\prime } \cos \left (y^{\prime }\right )\right )
\] |
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\[
{}y = \arcsin \left (y^{\prime }\right )+\ln \left (1+{y^{\prime }}^{2}\right )
\] |
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\[
{}y = 2 x y^{\prime }+\ln \left (y^{\prime }\right )
\] |
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\[
{}y = x \left (1+y^{\prime }\right )+{y^{\prime }}^{2}
\] |
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\[
{}y = 2 x y^{\prime }+\sin \left (y^{\prime }\right )
\] |
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\[
{}y = x {y^{\prime }}^{2}-\frac {1}{y^{\prime }}
\] |
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\[
{}y = \frac {3 x y^{\prime }}{2}+{\mathrm e}^{y^{\prime }}
\] |
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\[
{}y = x y^{\prime }+\frac {a}{{y^{\prime }}^{2}}
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}x {y^{\prime }}^{2}-y y^{\prime }-y^{\prime }+1 = 0
\] |
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\[
{}y = x y^{\prime }+a \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}x = \frac {y}{y^{\prime }}+\frac {1}{{y^{\prime }}^{2}}
\] |
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\[
{}y^{\prime } {\mathrm e}^{-x}+y^{2}-2 y \,{\mathrm e}^{x} = 1-{\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime }+y^{2}-2 y \sin \left (x \right )+\sin \left (x \right )^{2}-\cos \left (x \right ) = 0
\] |
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\[
{}x y^{\prime }-y^{2}+\left (2 x +1\right ) y = x^{2}+2 x
\] |
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\[
{}x^{2} y^{\prime } = x^{2} y^{2}+x y+1
\] |
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\[
{}\left (1+{y^{\prime }}^{2}\right ) y^{2}-4 y y^{\prime }-4 x = 0
\] |
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\[
{}{y^{\prime }}^{2}-4 y = 0
\] |
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\[
{}{y^{\prime }}^{3}-4 x y y^{\prime }+8 y^{2} = 0
\] |
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\[
{}{y^{\prime }}^{2}-y^{2} = 0
\] |
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\[
{}y^{\prime } = y^{{2}/{3}}+a
\] |
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\[
{}\left (x y^{\prime }+y\right )^{2}+3 x^{5} \left (x y^{\prime }-2 y\right ) = 0
\] |
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\[
{}y \left (y-2 x y^{\prime }\right )^{2} = 2 y^{\prime }
\] |
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\[
{}8 {y^{\prime }}^{3}-12 {y^{\prime }}^{2} = 27 y-27 x
\] |
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\[
{}\left (y^{\prime }-1\right )^{2} = y^{2}
\] |
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\[
{}y = {y^{\prime }}^{2}-x y^{\prime }+x
\] |
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\[
{}\left (x y^{\prime }+y\right )^{2} = y^{\prime } y^{2}
\] |
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\[
{}y^{2} {y^{\prime }}^{2}+y^{2} = 1
\] |
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\[
{}{y^{\prime }}^{2}-y y^{\prime }+{\mathrm e}^{x} = 0
\] |
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\[
{}3 x {y^{\prime }}^{2}-6 y y^{\prime }+x +2 y = 0
\] |
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\[
{}y = x y^{\prime }+\sqrt {a^{2} {y^{\prime }}^{2}+b^{2}}
\] |
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\[
{}y^{\prime } = \left (x -y\right )^{2}+1
\] |
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\[
{}x \sin \left (x \right ) y^{\prime }+\left (\sin \left (x \right )-x \cos \left (x \right )\right ) y = \sin \left (x \right ) \cos \left (x \right )-x
\] |
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\[
{}y^{\prime }+y \cos \left (x \right ) = y^{n} \sin \left (2 x \right )
\] |
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\[
{}x^{3}-3 x y^{2}+\left (y^{3}-3 x^{2} y\right ) y^{\prime } = 0
\] |
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\[
{}5 x y-4 y^{2}-6 x^{2}+\left (y^{2}-8 x y+\frac {5 x^{2}}{2}\right ) y^{\prime } = 0
\] |
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\[
{}3 x y^{2}-x^{2}+\left (3 x^{2} y-6 y^{2}-1\right ) y^{\prime } = 0
\] |
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\[
{}y-x y^{2} \ln \left (x \right )+x y^{\prime } = 0
\] |
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\[
{}2 x y \,{\mathrm e}^{x^{2}}-x \sin \left (x \right )+{\mathrm e}^{x^{2}} y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {1}{2 x -y^{2}}
\] |
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\[
{}x^{2}+x y^{\prime } = 3 x +y^{\prime }
\] |
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\[
{}x y y^{\prime }-y^{2} = x^{4}
\] |
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\[
{}\frac {1}{y^{2}-x y+x^{2}} = \frac {y^{\prime }}{2 y^{2}-x y}
\] |
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\[
{}\left (2 x -1\right ) y^{\prime }-2 y = \frac {1-4 x}{x^{2}}
\] |
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\[
{}x -y+3+\left (3 x +y+1\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime }+\cos \left (\frac {x}{2}+\frac {y}{2}\right ) = \cos \left (\frac {x}{2}-\frac {y}{2}\right )
\] |
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\[
{}y^{\prime } \left (3 x^{2}-2 x \right )-y \left (6 x -2\right ) = 0
\] |
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\[
{}y^{2} y^{\prime } x -y^{3} = \frac {x^{4}}{3}
\] |
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\[
{}1+{\mathrm e}^{\frac {x}{y}}+{\mathrm e}^{\frac {x}{y}} \left (1-\frac {x}{y}\right ) y^{\prime } = 0
\] |
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\[
{}x^{2}+y^{2}-x y y^{\prime } = 0
\] |
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\[
{}x -y+2+\left (x -y+3\right ) y^{\prime } = 0
\] |
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\[
{}x y^{2}+y-x y^{\prime } = 0
\] |
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\[
{}x^{2}+y^{2}+2 x +2 y y^{\prime } = 0
\] |
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\[
{}\left (x -1\right ) \left (y^{2}-y+1\right ) = \left (y-1\right ) \left (x^{2}+x +1\right ) y^{\prime }
\] |
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\[
{}\left (x -2 x y-y^{2}\right ) y^{\prime }+y^{2} = 0
\] |
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\[
{}y \cos \left (x \right )+\left (2 y-\sin \left (x \right )\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime }-1 = {\mathrm e}^{x +2 y}
\] |
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\[
{}2 x^{5}+4 x^{3} y-2 x y^{2}+\left (y^{2}+2 x^{2} y-x^{4}\right ) y^{\prime } = 0
\] |
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\[
{}x^{2} y^{n} y^{\prime } = 2 x y^{\prime }-y
\] |
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\[
{}\left (3 x +3 y+a^{2}\right ) y^{\prime } = 4 x +4 y+b^{2}
\] |
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\[
{}x -y^{2}+2 x y y^{\prime } = 0
\] |
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\[
{}x y^{\prime }+y = y^{2} \ln \left (x \right )
\] |
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\[
{}\sin \left (\ln \left (x \right )\right )-\cos \left (\ln \left (y\right )\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \sqrt {\frac {9 y^{2}-6 y+2}{x^{2}-2 x +5}}
\] |
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\[
{}\left (5 x -7 y+1\right ) y^{\prime }+x +y-1 = 0
\] |
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