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Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime }-2 x y = 6 x \,{\mathrm e}^{x^{2}}
\]
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\[
{} y^{\prime } x \ln \left (x \right )+y = 3 x^{3}
\]
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\[
{} y-2 x y-x^{2}+x^{2} y^{\prime } = 0
\]
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\[
{} x y^{\prime }+y = x^{4} y^{3}
\]
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\[
{} x y^{2} y^{\prime }+y^{3} = x \cos \left (x \right )
\]
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\[
{} x y^{\prime }+y = x y^{2}
\]
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\[
{} \left ({\mathrm e}^{y}-2 x y\right ) y^{\prime } = y^{2}
\]
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\[
{} y-x y^{\prime } = y^{\prime } y^{2} {\mathrm e}^{y}
\]
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\[
{} x y^{\prime }+2 = x^{3} \left (-1+y\right ) y^{\prime }
\]
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\[
{} x y^{\prime } = 2 x^{2} y+y \ln \left (y\right )
\]
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\[
{} y^{\prime } \sin \left (2 x \right ) = 2 y+2 \cos \left (x \right )
\]
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\[
{} \left (1-x y\right ) y^{\prime } = y^{2}
\]
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\[
{} 2 x +3 y+1+\left (2 y-3 x +5\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime } = \sqrt {x^{2}+y^{2}}
\]
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\[
{} y^{2} = \left (x^{3}-x y\right ) y^{\prime }
\]
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\[
{} x^{2} y^{3}+y = \left (x^{3} y^{2}-x \right ) y^{\prime }
\]
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\[
{} x y^{\prime }+y = y^{2}+x^{2} y^{\prime }
\]
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\[
{} x y y^{\prime } = y^{2}+x^{2} y^{\prime }
\]
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\[
{} \left ({\mathrm e}^{x}-3 x^{2} y^{2}\right ) y^{\prime }+y \,{\mathrm e}^{x} = 2 x y^{3}
\]
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\[
{} y+x^{2} = x y^{\prime }
\]
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\[
{} x y^{\prime }+y = x^{2} \cos \left (x \right )
\]
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\[
{} 6 x +4 y+3+\left (3 x +2 y+2\right ) y^{\prime } = 0
\]
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\[
{} \cos \left (x +y\right ) = x \sin \left (x +y\right )+x \sin \left (x +y\right ) y^{\prime }
\]
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\[
{} y^{2} {\mathrm e}^{x y}+\cos \left (x \right )+\left ({\mathrm e}^{x y}+x y \,{\mathrm e}^{x y}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } \ln \left (x -y\right ) = 1+\ln \left (x -y\right )
\]
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\[
{} y^{\prime }+2 x y = {\mathrm e}^{-x^{2}}
\]
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\[
{} y^{2}-3 x y-2 x^{2} = \left (x^{2}-x y\right ) y^{\prime }
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime }+2 x y = 4 x^{3}
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )+{\mathrm e}^{x} \cos \left (y\right ) y^{\prime } = y \sin \left (x y\right )+x \sin \left (x y\right ) y^{\prime }
\]
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\[
{} \left (1+x \right ) {\mathrm e}^{x} = \left (x \,{\mathrm e}^{x}-y \,{\mathrm e}^{y}\right ) y^{\prime }
\]
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\[
{} x^{2} y^{4}+x^{6}-x^{3} y^{3} y^{\prime } = 0
\]
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\[
{} y^{\prime } = 1+3 y \tan \left (x \right )
\]
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\[
{} y^{\prime } = 1+\frac {y}{x}-\frac {y^{2}}{x^{2}}
\]
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\[
{} y^{\prime } = \frac {2 x y \,{\mathrm e}^{\frac {x^{2}}{y^{2}}}}{y^{2}+y^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}+2 x^{2} {\mathrm e}^{\frac {x^{2}}{y^{2}}}}
\]
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\[
{} y^{\prime } = \frac {x +2 y+2}{y-2 x}
\]
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\[
{} 3 x^{2} \ln \left (y\right )+\frac {x^{3} y^{\prime }}{y} = 0
\]
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\[
{} \frac {3 y^{2}}{x^{2}+3 x}+\left (2 y \ln \left (\frac {5 x}{x +3}\right )+3 \sin \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} \frac {y-x}{\left (x +y\right )^{3}}-\frac {2 x y^{\prime }}{\left (x +y\right )^{3}} = 0
\]
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\[
{} x y^{2}+y+x y^{\prime } = 0
\]
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\[
{} 3 x^{2} y-y^{3}-\left (3 x y^{2}-x^{3}\right ) y^{\prime } = 0
\]
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\[
{} x \left (x^{2}+1\right ) y^{\prime }+2 y = \left (x^{2}+1\right )^{3}
\]
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\[
{} y^{\prime } = \frac {-3 x -2 y-1}{2 x +3 y-1}
\]
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\[
{} {\mathrm e}^{x^{2} y} \left (1+2 x^{2} y\right )+x^{3} {\mathrm e}^{x^{2} y} y^{\prime } = 0
\]
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\[
{} 3 x^{2} {\mathrm e}^{y}-2 x +\left (x^{3} {\mathrm e}^{y}-\sin \left (y\right )\right ) y^{\prime } = 0
\]
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\[
{} 3 x y+y^{2}+\left (3 x y+x^{2}\right ) y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime } = y^{2}+x y+x^{2}
\]
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\[
{} x y^{\prime }+y = y^{2} \ln \left (x \right )
\]
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\[
{} \frac {\cos \left (y\right )}{x +3}-\left (\sin \left (y\right ) \ln \left (5 x +15\right )-\frac {1}{y}\right ) y^{\prime } = 0
\]
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\[
{} x y+y-1+x y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime }-y^{2} = 2 x y
\]
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\[
{} x^{\prime }+x \cot \left (y \right ) = \sec \left (y \right )
\]
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\[
{} y^{\prime }+y = 3 \,{\mathrm e}^{2 x}
\]
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\[
{} x^{\prime } = 3 t^{2}+4 t
\]
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\[
{} x^{\prime } = b \,{\mathrm e}^{t}
\]
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\[
{} x^{\prime } = \frac {1}{t^{2}+1}
\]
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\[
{} x^{\prime } = \frac {1}{\sqrt {t^{2}+1}}
\]
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\[
{} x^{\prime } = \cos \left (t \right )
\]
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\[
{} x^{\prime } = \frac {\cos \left (t \right )}{\sin \left (t \right )}
\]
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\[
{} x^{\prime } = x^{2}-3 x+2
\]
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\[
{} x^{\prime } = b \,{\mathrm e}^{x}
\]
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\[
{} x^{\prime } = \left (x-1\right )^{2}
\]
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\[
{} x^{\prime } = \sqrt {x^{2}-1}
\]
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\[
{} x^{\prime } = 2 \sqrt {x}
\]
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\[
{} x^{\prime } = \tan \left (x\right )
\]
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\[
{} 3 t^{2} x-t x+\left (3 t^{3} x^{2}+t^{3} x^{4}\right ) x^{\prime } = 0
\]
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\[
{} 1+2 x+\left (-t^{2}+4\right ) x^{\prime } = 0
\]
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\[
{} x^{\prime } = \cos \left (\frac {x}{t}\right )
\]
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\[
{} \left (t^{2}-x^{2}\right ) x^{\prime } = t x
\]
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\[
{} {\mathrm e}^{3 t} x^{\prime }+3 x \,{\mathrm e}^{3 t} = 2 t
\]
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\[
{} 2 t +3 x+\left (3 t -x\right ) x^{\prime } = t^{2}
\]
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\[
{} x^{\prime }+2 x = {\mathrm e}^{t}
\]
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\[
{} x^{\prime }+x \tan \left (t \right ) = 0
\]
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\[
{} x^{\prime }-x \tan \left (t \right ) = 4 \sin \left (t \right )
\]
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\[
{} t^{3} x^{\prime }+\left (-3 t^{2}+2\right ) x = t^{3}
\]
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\[
{} x^{\prime }+2 t x+t x^{4} = 0
\]
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\[
{} t x^{\prime }+x \ln \left (t \right ) = t^{2}
\]
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\[
{} t x^{\prime }+x g \left (t \right ) = h \left (t \right )
\]
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\[
{} x^{\prime } = -\lambda x
\]
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\[
{} y^{\prime }+c y = a
\]
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\[
{} y^{\prime } = \frac {\sqrt {1-y^{2}}\, \arcsin \left (y\right )}{x}
\]
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\[
{} v^{\prime }+u^{2} v = \sin \left (u \right )
\]
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\[
{} v^{\prime }+\frac {2 v}{u} = 3
\]
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\[
{} \sin \left (x \right ) \cos \left (y\right )^{2}+\cos \left (x \right )^{2} y^{\prime } = 0
\]
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\[
{} y^{\prime }+\sqrt {\frac {1-y^{2}}{-x^{2}+1}} = 0
\]
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\[
{} y-x y^{\prime } = b \left (1+x^{2} y^{\prime }\right )
\]
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\[
{} x^{\prime } = k \left (A -n x\right ) \left (M -m x\right )
\]
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\[
{} y^{\prime } = 1+\frac {1}{x}-\frac {1}{y^{2}+2}-\frac {1}{x \left (y^{2}+2\right )}
\]
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\[
{} y^{2} = x \left (y-x \right ) y^{\prime }
\]
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\[
{} 2 x^{2} y+y^{3}-x^{3} y^{\prime } = 0
\]
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\[
{} 2 a x +b y+\left (2 c y+b x +e \right ) y^{\prime } = g
\]
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\[
{} \sec \left (x \right )^{2} \tan \left (y\right ) y^{\prime }+\sec \left (y\right )^{2} \tan \left (x \right ) = 0
\]
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\[
{} x +y y^{\prime } = m y
\]
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\[
{} \frac {2 x}{y^{3}}+\left (\frac {1}{y^{2}}-\frac {3 x^{2}}{y^{4}}\right ) y^{\prime } = 0
\]
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\[
{} \left (T+\frac {1}{\sqrt {t^{2}-T^{2}}}\right ) T^{\prime } = \frac {T}{t \sqrt {t^{2}-T^{2}}}-t
\]
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\[
{} y^{\prime }+x y = x
\]
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\[
{} y^{\prime }+\frac {y}{x} = \sin \left (x \right )
\]
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\[
{} y^{\prime }+\frac {y}{x} = \frac {\sin \left (x \right )}{y^{3}}
\]
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\[
{} p^{\prime } = \frac {p+a \,t^{3}-2 p t^{2}}{t \left (-t^{2}+1\right )}
\]
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\[
{} \left (T \ln \left (t \right )-1\right ) T = t T^{\prime }
\]
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\[
{} y^{\prime }+\cos \left (x \right ) y = \frac {\sin \left (2 x \right )}{2}
\]
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