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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y-y^{\prime } \cos \left (x \right ) = y^{2} \cos \left (x \right ) \left (1-\sin \left (x \right )\right )
\]
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\[
{} {y^{\prime }}^{2} x -y+2 y^{\prime } = 0
\]
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\[
{} 2 {y^{\prime }}^{3}+{y^{\prime }}^{2}-y = 0
\]
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\[
{} y^{\prime } = {\mathrm e}^{z -y^{\prime }}
\]
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\[
{} \sqrt {t^{2}+T} = T^{\prime }
\]
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\[
{} \left (x^{2}-1\right ) {y^{\prime }}^{2} = 1
\]
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\[
{} y^{\prime } = \left (x +y\right )^{2}
\]
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\[
{} \sec \left (\theta \right )^{2} = \frac {m s^{\prime }}{k}
\]
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\[
{} y^{\prime } = x \left (y^{2} a +b \right )
\]
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\[
{} n^{\prime } = \left (n^{2}+1\right ) x
\]
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\[
{} v^{\prime }+\frac {2 v}{u} = 3 v
\]
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\[
{} \sqrt {-u^{2}+1}\, v^{\prime } = 2 u \sqrt {1-v^{2}}
\]
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\[
{} \sqrt {1+v^{\prime }} = \frac {{\mathrm e}^{u}}{2}
\]
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\[
{} \frac {y^{\prime }}{x} = y \sin \left (x^{2}-1\right )-\frac {2 y}{\sqrt {x}}
\]
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\[
{} y^{\prime } = 1+\frac {2 y}{x -y}
\]
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\[
{} v^{\prime }+2 v u = 2 u
\]
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\[
{} 1+v^{2}+\left (u^{2}+1\right ) v v^{\prime } = 0
\]
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\[
{} u \ln \left (u \right ) v^{\prime }+\sin \left (v\right )^{2} = 1
\]
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\[
{} 4 y {y^{\prime }}^{3}-2 x^{2} {y^{\prime }}^{2}+4 x y y^{\prime }+x^{3} = 16 y^{2}
\]
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\[
{} 5 x^{\prime }+x = \sin \left (3 t \right )
\]
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\[
{} y = x y^{\prime }+y^{\prime }-{y^{\prime }}^{3}
\]
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\[
{} y-2 x y^{\prime }-y {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime }+\frac {x y}{x^{2}+1} = \frac {1}{x \left (x^{2}+1\right )}
\]
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\[
{} y^{\prime }+\frac {y}{x} = -x^{2}+1
\]
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\[
{} y^{\prime }+\cot \left (x \right ) y = \csc \left (x \right )^{2}
\]
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\[
{} y^{\prime } = x -y
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }+x^{2} y = x^{3}-x^{2} \arctan \left (x \right )
\]
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\[
{} y^{\prime }+\frac {x y}{x^{2}+1} = \frac {1}{x \left (x^{2}+1\right )}
\]
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\[
{} x \left (-x^{2}+1\right ) y^{\prime }+\left (x^{2}-1\right ) y = x^{3}
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = \frac {\sin \left (2 x \right )}{2}
\]
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\[
{} x \left (-x^{2}+1\right ) y^{\prime }+\left (2 x^{2}-1\right ) y = a \,x^{3}
\]
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\[
{} y^{\prime }+y \sin \left (x \right ) = y^{2} \sin \left (x \right )
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime }-x y = a x y^{2}
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = y^{n} \sin \left (2 x \right )
\]
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\[
{} 3 y^{2} y^{\prime }+y^{3} = x -1
\]
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\[
{} y^{\prime }-y \tan \left (x \right ) = y^{4} \sec \left (x \right )
\]
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\[
{} y \sqrt {x^{2}-1}+x \sqrt {-1+y^{2}}\, y^{\prime } = 0
\]
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\[
{} \left (1+{\mathrm e}^{y}\right ) \cos \left (x \right )+{\mathrm e}^{y} \sin \left (x \right ) y^{\prime } = 0
\]
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\[
{} \sqrt {2 a y-y^{2}}\, \csc \left (x \right )+y \tan \left (x \right ) y^{\prime } = 0
\]
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\[
{} y \left (3+y\right ) y^{\prime } = x \left (3+2 y\right )
\]
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\[
{} x^{3}-3 x^{2} y+5 x y^{2}-7 y^{3}+\left (y^{4}+2 y^{2}-x^{3}+5 x^{2} y-21 x y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x^{3}+4 x y+y^{2}+\left (2 x^{2}+2 x y+4 y^{3}\right ) y^{\prime } = 0
\]
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\[
{} \sin \left (x \right ) \cos \left (y\right )+\cos \left (x \right ) \sin \left (y\right ) y^{\prime } = 0
\]
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\[
{} x^{2}+\ln \left (y\right )+\frac {x y^{\prime }}{y} = 0
\]
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\[
{} x \left (x -2 y\right ) y^{\prime }+x^{2}+2 y^{2} = 0
\]
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\[
{} 5 x y y^{\prime }-x^{2}-y^{2} = 0
\]
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\[
{} \left (x^{2}+3 x y-y^{2}\right ) y^{\prime }-3 y^{2} = 0
\]
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\[
{} \left (2 x y+x^{2}\right ) y^{\prime }-3 x^{2}+2 x y-y^{2} = 0
\]
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\[
{} 5 x y y^{\prime }-4 x^{2}-y^{2} = 0
\]
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\[
{} \left (x^{2}-2 x y\right ) y^{\prime }+x^{2}-3 x y+2 y^{2} = 0
\]
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\[
{} 3 x^{2} y^{\prime }+2 x^{2}-3 y^{2} = 0
\]
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\[
{} \left (3 x +2 y-7\right ) y^{\prime } = 2 x -3 y+6
\]
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\[
{} \left (6 x -5 y+4\right ) y^{\prime } = 2 x -y+1
\]
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\[
{} \left (5 x -2 y+7\right ) y^{\prime } = x -3 y+2
\]
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\[
{} \left (x -3 y+4\right ) y^{\prime } = 5 x -7 y
\]
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\[
{} \left (x -3 y+4\right ) y^{\prime } = 2 x -6 y+7
\]
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\[
{} \left (5 x -2 y+7\right ) y^{\prime } = 10 x -4 y+6
\]
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\[
{} \left (2 x -2 y+5\right ) y^{\prime } = x -y+3
\]
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\[
{} \left (6 x -4 y+1\right ) y^{\prime } = 3 x -2 y+1
\]
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\[
{} x = y+{y^{\prime }}^{2}
\]
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\[
{} y = x y^{\prime }-{y^{\prime }}^{2}
\]
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\[
{} {y^{\prime }}^{2}+x y^{\prime }-y = 0
\]
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\[
{} \left (1-x \right ) y^{\prime }-y-1 = 0
\]
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\[
{} y^{\prime }+\sqrt {\frac {1-y^{2}}{-x^{2}+1}} = 0
\]
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\[
{} y-x y^{\prime } = a \left (y^{2}+y^{\prime }\right )
\]
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\[
{} 3 \,{\mathrm e}^{x} \tan \left (y\right )+\left (1-{\mathrm e}^{x}\right ) \sec \left (y\right )^{2} y^{\prime } = 0
\]
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\[
{} x^{2}+y^{2}-2 x y y^{\prime } = 0
\]
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\[
{} y^{2}+\left (x y+x^{2}\right ) y^{\prime } = 0
\]
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\[
{} x^{2} y-\left (x^{3}+y^{3}\right ) y^{\prime } = 0
\]
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\[
{} \left (3 x +4 y\right ) y^{\prime }+y-2 x = 0
\]
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\[
{} 3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime } = 0
\]
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\[
{} \left (y-3 x +3\right ) y^{\prime } = 2 y-x -4
\]
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\[
{} x^{2}-4 x y-2 y^{2}+\left (y^{2}-4 x y-2 x^{2}\right ) y^{\prime } = 0
\]
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\[
{} x +y y^{\prime }+\frac {x y^{\prime }-y}{x^{2}+y^{2}} = 0
\]
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\[
{} a^{2}-2 x y-y^{2}-\left (x +y\right )^{2} y^{\prime } = 0
\]
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\[
{} 2 a x +b y+g +\left (2 c y+b x +e \right ) y^{\prime } = 0
\]
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\[
{} \left (2 x^{2} y+4 x^{3}-12 x y^{2}+3 y^{2}-x \,{\mathrm e}^{y}+{\mathrm e}^{2 x}\right ) y^{\prime }+12 x^{2} y+2 x y^{2}+4 x^{3}-4 y^{3}+2 y \,{\mathrm e}^{2 x}-{\mathrm e}^{y} = 0
\]
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\[
{} y-x y^{\prime }+\ln \left (x \right ) = 0
\]
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\[
{} \left (1+x y\right ) y-\left (1-x y\right ) x y^{\prime } = 0
\]
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\[
{} a \left (x y^{\prime }+2 y\right ) = x y y^{\prime }
\]
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\[
{} x^{4} {\mathrm e}^{x}-2 m x y^{2}+2 m \,x^{2} y y^{\prime } = 0
\]
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\[
{} y \left (2 x y+{\mathrm e}^{x}\right )-{\mathrm e}^{x} y^{\prime } = 0
\]
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\[
{} x^{2} y-2 x y^{2}-\left (x^{3}-3 x^{2} y\right ) y^{\prime } = 0
\]
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\[
{} y \left (x y+2 x^{2} y^{2}\right )+x \left (x y-x^{2} y^{2}\right ) y^{\prime } = 0
\]
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\[
{} x^{2}+y^{2}+2 x +2 y y^{\prime } = 0
\]
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\[
{} x^{2}+y^{2}-x^{2} y y^{\prime } = 0
\]
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\[
{} 3 x^{2} y^{4}+2 x y+\left (2 x^{3} y^{3}-x^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{4}+2 y+\left (x y^{3}+2 y^{4}-4 x \right ) y^{\prime } = 0
\]
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\[
{} y^{3}-2 x^{2} y+\left (2 x y^{2}-x^{3}\right ) y^{\prime } = 0
\]
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\[
{} 2 x^{2} y-3 y^{4}+\left (3 x^{3}+2 x y^{3}\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+2 x^{2} y+\left (2 x^{3}-x y\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime }-a y = 1+x
\]
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\[
{} y^{\prime }+y = {\mathrm e}^{-x}
\]
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\[
{} \cos \left (x \right )^{2} y^{\prime }+y = \tan \left (x \right )
\]
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\[
{} \left (1+x \right ) y^{\prime }-n y = {\mathrm e}^{x} \left (1+x \right )^{n +1}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }+2 x y = 4 x^{2}
\]
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\[
{} y^{\prime }+\frac {y}{x} = x^{2} y^{6}
\]
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\[
{} 1+y^{2} = \left (\arctan \left (y\right )-x \right ) y^{\prime }
\]
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\[
{} y^{\prime }+\frac {2 y}{x} = 3 x^{2} y^{{1}/{3}}
\]
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\[
{} y^{\prime }+\frac {x y}{-x^{2}+1} = x \sqrt {y}
\]
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