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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}-b^{2} = 0
\]
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\[
{} \left (x y^{\prime }-y\right ) \left (x -y y^{\prime }\right ) = 2 y^{\prime }
\]
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\[
{} x y^{\prime }+x +y = 0
\]
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\[
{} \left (x y+1\right ) y-x y^{\prime } = 0
\]
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\[
{} \sin \left (x \right ) y^{\prime }-\cos \left (x \right ) y+y^{2} = 0
\]
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\[
{} y-x +\left (x +y\right ) y^{\prime } = 0
\]
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\[
{} x +y y^{\prime }+\frac {x y^{\prime }-y}{x^{2}+y^{2}} = 0
\]
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\[
{} x^{3}+3 x y^{2}+\left (y^{3}+3 x^{2} y\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime }+y = y^{2} \ln \left (x \right )
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime }-2 x y = -x^{3}+x
\]
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\[
{} x y^{\prime }-y-\cos \left (\frac {1}{x}\right ) = 0
\]
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\[
{} y y^{\prime }+x = m \left (x y^{\prime }-y\right )
\]
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\[
{} x \cos \left (y\right )^{2} = y \cos \left (x \right )^{2} y^{\prime }
\]
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\[
{} y^{\prime } = {\mathrm e}^{x -y}+x^{2} {\mathrm e}^{-y}
\]
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\[
{} y^{\prime } x^{2}+y = 1
\]
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\[
{} 2 y+\left (x^{2}+1\right ) \arctan \left (x \right ) y^{\prime } = 0
\]
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\[
{} x y^{2}+x +\left (y+x^{2} y\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = {\mathrm e}^{x +y}+x^{2} {\mathrm e}^{y}
\]
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\[
{} \left (3+2 \sin \left (x \right )+\cos \left (x \right )\right ) y^{\prime } = 1+2 \sin \left (y\right )+\cos \left (y\right )
\]
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\[
{} \frac {\cos \left (y\right )^{2} y^{\prime }}{x}+\frac {\cos \left (x \right )^{2}}{y} = 0
\]
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\[
{} \left ({\mathrm e}^{x}+1\right ) y y^{\prime } = \left (1+y\right ) {\mathrm e}^{x}
\]
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\[
{} \csc \left (x \right ) \ln \left (y\right ) y^{\prime }+x^{2} y^{2} = 0
\]
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\[
{} y^{\prime } = \frac {\sin \left (x \right )+x \cos \left (x \right )}{y \left (2 \ln \left (y\right )+1\right )}
\]
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\[
{} \cos \left (y\right ) \ln \left (\sec \left (x \right )+\tan \left (x \right )\right ) = \cos \left (x \right ) \ln \left (\sec \left (y\right )+\tan \left (y\right )\right ) y^{\prime }
\]
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\[
{} y^{2}+x y^{2}+\left (x^{2}-x^{2} y\right ) y^{\prime } = 0
\]
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\[
{} \left (\sin \left (y\right )+y \cos \left (y\right )\right ) y^{\prime }-\left (2 \ln \left (x \right )+1\right ) x = 0
\]
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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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\[
{} y-x y^{\prime } = a \left (y^{\prime }+y^{2}\right )
\]
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\[
{} \left (x +y-1\right ) y^{\prime } = x +y+1
\]
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\[
{} \left (2 x +2 y+1\right ) y^{\prime } = x +y+1
\]
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\[
{} 2 x +3 y-1+\left (2 x +3 y-5\right ) y^{\prime } = 0
\]
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\[
{} \left (x^{2}+y^{2}\right ) y^{\prime } = x^{2}+x y
\]
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\[
{} \left (x \cos \left (\frac {y}{x}\right )+y \sin \left (\frac {y}{x}\right )\right ) y-\left (y \sin \left (\frac {y}{x}\right )-x \cos \left (\frac {y}{x}\right )\right ) x y^{\prime } = 0
\]
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\[
{} x^{2}-y^{2}+2 x y y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {y}{x}+\tan \left (\frac {y}{x}\right )
\]
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\[
{} \left (2 x -2 y+5\right ) y^{\prime }-x +y-3 = 0
\]
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\[
{} x +y+1-\left (2 x +2 y+1\right ) y^{\prime } = 0
\]
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\[
{} y^{2} = \left (x y-x^{2}\right ) y^{\prime }
\]
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\[
{} x \sin \left (\frac {y}{x}\right ) y^{\prime } = y \sin \left (\frac {y}{x}\right )-x
\]
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\[
{} \left (x^{2}+y^{2}\right ) y^{\prime } = x y
\]
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\[
{} y^{\prime } x^{2}+y \left (x +y\right ) = 0
\]
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\[
{} 2 y^{\prime } = \frac {y}{x}+\frac {y^{2}}{x^{2}}
\]
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\[
{} \left (6 x -5 y+4\right ) y^{\prime }+y-2 x -1 = 0
\]
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\[
{} \left (x -3 y+4\right ) y^{\prime }+7 y-5 x = 0
\]
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\[
{} \left (3+2 x +4 y\right ) y^{\prime } = x +2 y+1
\]
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\[
{} x y^{\prime }-y = \sqrt {x^{2}+y^{2}}
\]
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\[
{} \left (3 x^{2}+y^{2}\right ) y y^{\prime }+x \left (x^{2}+3 y^{2}\right ) = 0
\]
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\[
{} x^{2}+3 y^{2}-2 x y y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {1+2 x -y}{x +2 y-3}
\]
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\[
{} \left (x -y\right ) y^{\prime } = x +y+1
\]
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\[
{} x -y-2-\left (2 x -2 y-3\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }+\cot \left (x \right ) y = 2 \cos \left (x \right )
\]
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\[
{} \cos \left (x \right )^{2} y^{\prime }+y = \tan \left (x \right )
\]
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\[
{} x \cos \left (x \right ) y^{\prime }+y \left (x \sin \left (x \right )+\cos \left (x \right )\right ) = 1
\]
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\[
{} y-x \sin \left (x^{2}\right )+x y^{\prime } = 0
\]
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\[
{} x \ln \left (x \right ) y^{\prime }+y = 2 \ln \left (x \right )
\]
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\[
{} \sin \left (x \right ) \cos \left (x \right ) y^{\prime } = \sin \left (x \right )+y
\]
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\[
{} \left (x y^{2}+1+x \right ) y^{\prime }+y+y^{3} = 0
\]
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\[
{} y^{2}+\left (x -\frac {1}{y}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }+3 x^{2} y = x^{5} {\mathrm e}^{x^{3}}
\]
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\[
{} y^{\prime }-\frac {\tan \left (y\right )}{1+x} = \left (1+x \right ) {\mathrm e}^{x} \sec \left (y\right )
\]
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\[
{} y^{\prime }+\frac {\left (1-2 x \right ) y}{x^{2}} = 1
\]
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\[
{} y^{\prime }+\frac {2 y}{x} = \sin \left (x \right )
\]
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\[
{} 1+y^{2} = \left (\arctan \left (y\right )-x \right ) y^{\prime }
\]
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\[
{} 1+y+x^{2} y+\left (x^{3}+x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime }+\frac {x y}{x^{2}+1} = \frac {1}{2 x \left (x^{2}+1\right )}
\]
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\[
{} y^{\prime }+\frac {\tan \left (y\right )}{x} = \frac {\tan \left (y\right ) \sin \left (y\right )}{x^{2}}
\]
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\[
{} y^{\prime }+\frac {y \ln \left (y\right )}{x} = \frac {y}{x^{2}}-\ln \left (y\right )^{2}
\]
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\[
{} x +y^{\prime } = x \,{\mathrm e}^{\left (n -1\right ) y}
\]
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\[
{} y \left ({\mathrm e}^{x}+2 x y\right )-{\mathrm e}^{x} y^{\prime } = 0
\]
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\[
{} 2 y^{\prime }-y \sec \left (x \right ) = y^{3} \tan \left (x \right )
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = y^{n} \sin \left (2 x \right )
\]
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\[
{} y y^{\prime }+x = \frac {a^{2} \left (x y^{\prime }-y\right )}{x^{2}+y^{2}}
\]
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\[
{} 1+4 x y+2 y^{2}+\left (1+4 x y+2 x^{2}\right ) y^{\prime } = 0
\]
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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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\[
{} \left (x^{4} y^{4}+x^{2} y^{2}+x y\right ) y+\left (x^{4} y^{4}-x^{2} y^{2}+x y\right ) x y^{\prime } = 0
\]
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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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\[
{} y^{4}+2 y+\left (x y^{3}+2 y^{4}-4 x \right ) y^{\prime } = 0
\]
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\[
{} x^{2}+y^{2}-2 x y y^{\prime } = 0
\]
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\[
{} \left (20 x^{2}+8 x y+4 y^{2}+3 y^{3}\right ) y+4 \left (x^{2}+x y+y^{2}+y^{3}\right ) x y^{\prime } = 0
\]
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\[
{} y^{2}+2 x^{2} y+\left (2 x^{3}-x y\right ) y^{\prime } = 0
\]
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\[
{} 2 y+3 x y^{\prime }+2 x y \left (3 y+4 x y^{\prime }\right ) = 0
\]
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\[
{} \frac {y y^{\prime }+x}{x y^{\prime }-y} = \sqrt {\frac {a^{2}-x^{2}-y^{2}}{x^{2}+y^{2}}}
\]
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\[
{} \frac {\left (x +y-a \right ) y^{\prime }}{x +y-b} = \frac {x +y+a}{x +y+b}
\]
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\[
{} \left (x -y\right )^{2} y^{\prime } = a^{2}
\]
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\[
{} \left (x +y\right )^{2} y^{\prime } = a^{2}
\]
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\[
{} y^{\prime } = \left (4 x +y+1\right )^{2}
\]
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\[
{} x y^{\prime }-y = x \sqrt {x^{2}+y^{2}}
\]
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\[
{} y \ln \left (y\right )+x y^{\prime } = y x \,{\mathrm e}^{x}
\]
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\[
{} x y^{\prime }-y = \sqrt {x^{2}+y^{2}}
\]
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\[
{} x \left (x^{2}+y^{2}-a^{2}\right )+y \left (x^{2}-y^{2}-b^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {1+x^{2}+y^{2}}{2 x y}
\]
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\[
{} y y^{\prime }+x = m \left (x y^{\prime }-y\right )
\]
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\[
{} y+\left (a \,x^{2} y^{n}-2 x \right ) y^{\prime } = 0
\]
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\[
{} y \left (2 x^{2} y+{\mathrm e}^{x}\right )-\left ({\mathrm e}^{x}+y^{3}\right ) y^{\prime } = 0
\]
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\[
{} {x^{\prime }}^{2} = k^{2} \left (1-{\mathrm e}^{-\frac {2 g x}{k^{2}}}\right )
\]
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\[
{} y y^{\prime }+b y^{2} = a \cos \left (x \right )
\]
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\[
{} y^{\prime } = {\mathrm e}^{3 x -2 y}+x^{2} {\mathrm e}^{-2 y}
\]
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\[
{} x^{2}+y^{2}+x -\left (2 x^{2}+2 y^{2}-y\right ) y^{\prime } = 0
\]
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\[
{} 2 y+3 x y^{\prime }+2 x y \left (3 y+4 x y^{\prime }\right ) = 0
\]
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