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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} x^{2} \left (1+y^{2}\right ) y^{\prime }+y^{2} \left (x^{2}+1\right ) = 0
\]
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\[
{} x \left (x -1\right ) y^{\prime } = \cot \left (y\right )
\]
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\[
{} r y^{\prime } = \frac {\left (a^{2}-r^{2}\right ) \tan \left (y\right )}{a^{2}+r^{2}}
\]
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\[
{} \sqrt {x^{2}+1}\, y^{\prime }+\sqrt {1+y^{2}} = 0
\]
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\[
{} y^{\prime } = \frac {x \left (1+y^{2}\right )}{y \left (x^{2}+1\right )}
\]
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\[
{} y^{2} y^{\prime } = 2+3 y^{6}
\]
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\[
{} \cos \left (y\right )^{2}+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {x^{3} {\mathrm e}^{x^{2}}}{y \ln \left (y\right )}
\]
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\[
{} x \cos \left (y\right )^{2}+{\mathrm e}^{x} \tan \left (y\right ) y^{\prime } = 0
\]
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\[
{} x \left (1+y^{2}\right )+\left (2 y+1\right ) {\mathrm e}^{-x} y^{\prime } = 0
\]
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\[
{} x y^{3}+{\mathrm e}^{x^{2}} y^{\prime } = 0
\]
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\[
{} x \cos \left (y\right )^{2}+\tan \left (y\right ) y^{\prime } = 0
\]
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\[
{} x y^{3}+\left (y+1\right ) {\mathrm e}^{-x} y^{\prime } = 0
\]
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\[
{} y^{\prime }+\frac {x}{y}+2 = 0
\]
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\[
{} x y^{\prime }-y = x \cot \left (\frac {y}{x}\right )
\]
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\[
{} x \cos \left (\frac {y}{x}\right )^{2}-y+x y^{\prime } = 0
\]
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\[
{} x y^{\prime } = y \left (1+\ln \left (y\right )-\ln \left (x \right )\right )
\]
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\[
{} x y+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} \left (1-{\mathrm e}^{-\frac {y}{x}}\right ) y^{\prime }+1-\frac {y}{x} = 0
\]
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\[
{} x^{2}-x y+y^{2}-x y y^{\prime } = 0
\]
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\[
{} \left (3+2 x +4 y\right ) y^{\prime } = x +2 y+1
\]
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\[
{} y^{\prime } = \frac {2 x +y-1}{x -y-2}
\]
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\[
{} y+2 = \left (2 x +y-4\right ) y^{\prime }
\]
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\[
{} y^{\prime } = \sin \left (x -y\right )^{2}
\]
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\[
{} y^{\prime } = \left (1+x \right )^{2}+\left (4 y+1\right )^{2}+8 x y+1
\]
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\[
{} 3 x^{2}+6 x y^{2}+\left (6 x^{2} y+4 y^{3}\right ) y^{\prime } = 0
\]
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\[
{} 2 x^{2}-x y^{2}-2 y+3-\left (x^{2} y+2 x \right ) y^{\prime } = 0
\]
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\[
{} x y^{2}+x -2 y+3+\left (x^{2} y-2 x -2 y\right ) y^{\prime } = 0
\]
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\[
{} 3 y \left (x^{2}-1\right )+\left (x^{3}+8 y-3 x \right ) y^{\prime } = 0
\]
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\[
{} x^{2}+\ln \left (y\right )+\frac {x y^{\prime }}{y} = 0
\]
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\[
{} 2 x \left (3 x +y-y \,{\mathrm e}^{-x^{2}}\right )+\left (x^{2}+3 y^{2}+{\mathrm e}^{-x^{2}}\right ) y^{\prime } = 0
\]
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\[
{} 3+y+2 y^{2} \sin \left (x \right )^{2}+\left (x +2 x y-y \sin \left (2 x \right )\right ) y^{\prime } = 0
\]
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\[
{} 2 x y+\left (x^{2}+2 x y+y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x^{2}-\sin \left (y\right )^{2}+x \sin \left (2 y\right ) y^{\prime } = 0
\]
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\[
{} y \left (2 x -y+2\right )+2 \left (x -y\right ) y^{\prime } = 0
\]
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\[
{} 4 x y+3 y^{2}-x +x \left (x +2 y\right ) y^{\prime } = 0
\]
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\[
{} y+x \left (y^{2}+\ln \left (x \right )\right ) y^{\prime } = 0
\]
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\[
{} x^{2}+2 x +y+\left (3 x^{2} y-x \right ) y^{\prime } = 0
\]
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\[
{} y^{2}+\left (x y+y^{2}-1\right ) y^{\prime } = 0
\]
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\[
{} 3 x^{2}+3 y^{2}+x \left (x^{2}+3 y^{2}+6 y\right ) y^{\prime } = 0
\]
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\[
{} 2 y \left (x +y+2\right )+\left (y^{2}-x^{2}-4 x -1\right ) y^{\prime } = 0
\]
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\[
{} 2+y^{2}+2 x +2 y y^{\prime } = 0
\]
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\[
{} 2 x y^{2}-y+\left (y^{2}+x +y\right ) y^{\prime } = 0
\]
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\[
{} y \left (x +y\right )+\left (x +2 y-1\right ) y^{\prime } = 0
\]
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\[
{} 2 x \left (x^{2}-\sin \left (y\right )+1\right )+\left (x^{2}+1\right ) \cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} x^{2}+y+y^{2}-x y^{\prime } = 0
\]
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\[
{} x -\sqrt {x^{2}+y^{2}}+\left (y-\sqrt {x^{2}+y^{2}}\right ) y^{\prime } = 0
\]
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\[
{} y \sqrt {1+y^{2}}+\left (x \sqrt {1+y^{2}}-y\right ) y^{\prime } = 0
\]
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\[
{} y^{2}-\left (x y+x^{3}\right ) y^{\prime } = 0
\]
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\[
{} y-2 x^{3} \tan \left (\frac {y}{x}\right )-x y^{\prime } = 0
\]
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\[
{} 2 x^{2} y^{2}+y+\left (x^{3} y-x \right ) y^{\prime } = 0
\]
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\[
{} y^{2}+\left (x y+\tan \left (x y\right )\right ) y^{\prime } = 0
\]
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\[
{} 2 x^{2} y^{4}-y+\left (4 x^{3} y^{3}-x \right ) y^{\prime } = 0
\]
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\[
{} x^{2}+y^{3}+y+\left (x^{3}+y^{2}-x \right ) y^{\prime } = 0
\]
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\[
{} y \left (1+y^{2}\right )+x \left (y^{2}-x +1\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+\left ({\mathrm e}^{x}-y\right ) y^{\prime } = 0
\]
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\[
{} x^{2} y^{2}-2 y+\left (x^{3} y-x \right ) y^{\prime } = 0
\]
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\[
{} 2 x^{3} y+y^{3}-\left (x^{4}+2 x y^{2}\right ) y^{\prime } = 0
\]
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\[
{} 1+\cos \left (x \right ) y-\sin \left (x \right ) y^{\prime } = 0
\]
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\[
{} \left (\sin \left (y\right )^{2}+x \cot \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} 1-\left (y-2 x y\right ) y^{\prime } = 0
\]
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\[
{} 1-\left (1+2 x \tan \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} \left (y^{3}+\frac {x}{y}\right ) y^{\prime } = 1
\]
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\[
{} 1+\left (x -y^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+\left (x y+y^{2}-1\right ) y^{\prime } = 0
\]
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\[
{} y = \left ({\mathrm e}^{y}+2 x y-2 x \right ) y^{\prime }
\]
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\[
{} \left (2 x +3\right ) y^{\prime } = y+\sqrt {2 x +3}
\]
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\[
{} y+\left (y^{2} {\mathrm e}^{y}-x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = 1+3 y \tan \left (x \right )
\]
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\[
{} \left (\cos \left (x \right )+1\right ) y^{\prime } = \sin \left (x \right ) \left (\sin \left (x \right )+\sin \left (x \right ) \cos \left (x \right )-y\right )
\]
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\[
{} y^{\prime } = \left (\sin \left (x \right )^{2}-y\right ) \cos \left (x \right )
\]
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\[
{} \left (1+x \right ) y^{\prime }-y = x \left (1+x \right )^{2}
\]
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\[
{} 1+y+\left (x -y \left (y+1\right )^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }+y^{2} = x^{2}+1
\]
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\[
{} 3 x y^{\prime }-3 x y^{4} \ln \left (x \right )-y = 0
\]
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\[
{} y^{\prime } = \frac {4 x^{3} y^{2}}{x^{4} y+2}
\]
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\[
{} y \left (6 y^{2}-x -1\right )+2 x y^{\prime } = 0
\]
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\[
{} \left (1+x \right ) \left (y^{\prime }+y^{2}\right )-y = 0
\]
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\[
{} x y y^{\prime }+y^{2}-\sin \left (x \right ) = 0
\]
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\[
{} 2 x^{3}-y^{4}+x y^{3} y^{\prime } = 0
\]
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\[
{} y^{\prime }-y \tan \left (x \right )+y^{2} \cos \left (x \right ) = 0
\]
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\[
{} 6 y^{2}-x \left (2 x^{3}+y\right ) y^{\prime } = 0
\]
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\[
{} x {y^{\prime }}^{3}-y {y^{\prime }}^{2}+1 = 0
\]
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\[
{} y = x y^{\prime }+{y^{\prime }}^{3}
\]
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\[
{} x \left ({y^{\prime }}^{2}-1\right ) = 2 y^{\prime }
\]
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\[
{} x y^{\prime } \left (y^{\prime }+2\right ) = y
\]
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\[
{} x = y^{\prime } \sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} 2 {y^{\prime }}^{2} \left (y-x y^{\prime }\right ) = 1
\]
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\[
{} y = 2 x y^{\prime }+y^{2} {y^{\prime }}^{3}
\]
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\[
{} {y^{\prime }}^{3}+y^{2} = x y y^{\prime }
\]
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\[
{} 2 x y^{\prime }-y = y^{\prime } \ln \left (y y^{\prime }\right )
\]
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\[
{} y = x y^{\prime }-x^{2} {y^{\prime }}^{3}
\]
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\[
{} y \left (y-2 x y^{\prime }\right )^{3} = {y^{\prime }}^{2}
\]
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\[
{} x y^{\prime }+y = 4 \sqrt {y^{\prime }}
\]
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\[
{} 2 x y^{\prime }-y = \ln \left (y^{\prime }\right )
\]
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\[
{} x y^{2} \left (x y^{\prime }+y\right ) = 1
\]
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\[
{} 5 y+{y^{\prime }}^{2} = x \left (x +y^{\prime }\right )
\]
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\[
{} y^{\prime } = \frac {y+2}{1+x}
\]
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\[
{} x y^{\prime } = y-x \,{\mathrm e}^{\frac {y}{x}}
\]
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\[
{} 1+y^{2} \sin \left (2 x \right )-2 y \cos \left (x \right )^{2} y^{\prime } = 0
\]
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