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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} 2+2 x^{2}-2 x y+\left (x^{2}+1\right ) y^{\prime } = 0
\]
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\[
{} \left (y^{2}-4\right ) y^{\prime } = y
\]
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\[
{} \left (x^{2}-4\right ) y^{\prime } = x
\]
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\[
{} y^{\prime } = \frac {1}{x y-3 x}
\]
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\[
{} y^{\prime } = \frac {3 y}{1+x}-y^{2}
\]
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\[
{} \sin \left (y\right )+\left (x +y\right ) \cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} \sin \left (y\right )+\left (1+x \right ) \cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} \sin \left (x \right )+2 \cos \left (x \right ) y^{\prime } = 0
\]
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\[
{} x y y^{\prime } = 2 x^{2}+2 y^{2}
\]
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\[
{} y^{\prime } = \frac {2 y+x}{x +2 y+3}
\]
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\[
{} y^{\prime } = \frac {2 y+x}{2 x -y}
\]
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\[
{} y^{\prime } = \frac {y}{x}+\tan \left (\frac {y}{x}\right )
\]
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\[
{} y^{\prime } = x y^{2}+3 y^{2}+x +3
\]
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\[
{} 1-\left (2 y+x \right ) y^{\prime } = 0
\]
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\[
{} \ln \left (y\right )+\left (\frac {x}{y}+3\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+1-y^{\prime } = 0
\]
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\[
{} y^{\prime }-3 y = 12 \,{\mathrm e}^{2 x}
\]
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\[
{} x y y^{\prime } = x^{2}+x y+y^{2}
\]
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\[
{} \left (x +2\right ) y^{\prime }-x^{3} = 0
\]
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\[
{} x y^{3} y^{\prime } = y^{4}-x^{2}
\]
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\[
{} y^{\prime } = 4 y-\frac {16 \,{\mathrm e}^{4 x}}{y^{2}}
\]
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\[
{} 2 y-6 x +\left (1+x \right ) y^{\prime } = 0
\]
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\[
{} x y^{2}+\left (x^{2} y+10 y^{4}\right ) y^{\prime } = 0
\]
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\[
{} y y^{\prime }-x y^{2} = 6 x \,{\mathrm e}^{4 x^{2}}
\]
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\[
{} \left (y-x +3\right )^{2} \left (y^{\prime }-1\right ) = 1
\]
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\[
{} x +y \,{\mathrm e}^{x y}+x \,{\mathrm e}^{x y} y^{\prime } = 0
\]
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\[
{} y^{2}-y^{2} \cos \left (x \right )+y^{\prime } = 0
\]
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\[
{} 2 y+y^{\prime } = \sin \left (x \right )
\]
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\[
{} y^{\prime }+2 x = \sin \left (x \right )
\]
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\[
{} y^{\prime } = y^{3}-y^{3} \cos \left (x \right )
\]
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\[
{} y^{2} {\mathrm e}^{x y^{2}}-2 x +2 x y \,{\mathrm e}^{x y^{2}} y^{\prime } = 0
\]
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\[
{} y^{\prime } = {\mathrm e}^{4 x +3 y}
\]
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\[
{} y^{\prime } = \tan \left (6 x +3 y+1\right )-2
\]
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\[
{} y^{\prime } = {\mathrm e}^{4 x +3 y}
\]
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\[
{} y^{\prime } = x \left (6 y+{\mathrm e}^{x^{2}}\right )
\]
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\[
{} x \left (1-2 y\right )+\left (y-x^{2}\right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } x^{2}+3 x y = 6 \,{\mathrm e}^{-x^{2}}
\]
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\[
{} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2}
\]
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\[
{} x y^{\prime \prime } = 2 y^{\prime }
\]
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\[
{} y^{\prime \prime } = y^{\prime }
\]
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\[
{} y^{\prime \prime }+2 y^{\prime } = 8 \,{\mathrm e}^{2 x}
\]
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\[
{} x y^{\prime \prime } = y^{\prime }-2 y^{\prime } x^{2}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\]
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\[
{} y^{\prime \prime } = 4 x \sqrt {y^{\prime }}
\]
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\[
{} y^{\prime \prime } y^{\prime } = 1
\]
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\[
{} y y^{\prime \prime } = -{y^{\prime }}^{2}
\]
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\[
{} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime }
\]
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\[
{} x y^{\prime \prime }-{y^{\prime }}^{2} = 6 x^{5}
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y^{\prime }-6
\]
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\[
{} \left (y-3\right ) y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime } = 9 \,{\mathrm e}^{-3 x}
\]
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\[
{} y^{\prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x
\]
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\[
{} y^{\prime \prime \prime } = 2 \sqrt {y^{\prime \prime }}
\]
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\[
{} y^{\prime \prime \prime \prime } = -2 y^{\prime \prime \prime }
\]
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\[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} \sin \left (y\right ) y^{\prime \prime }+\cos \left (y\right ) {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = y^{\prime }
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 2 y y^{\prime }
\]
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\[
{} y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = 4 x \sqrt {y^{\prime }}
\]
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\[
{} y^{\prime \prime } y^{\prime } = 1
\]
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\[
{} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime }
\]
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\[
{} x y^{\prime \prime }-y^{\prime } = 6 x^{5}
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime }
\]
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\[
{} y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} \left (y-3\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime }+4 y^{\prime } = 9 \,{\mathrm e}^{-3 x}
\]
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\[
{} y^{\prime \prime } = y^{\prime } \left (y^{\prime }-2\right )
\]
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\[
{} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2}
\]
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\[
{} x y^{\prime \prime } = 2 y^{\prime }
\]
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\[
{} y^{\prime \prime } = y^{\prime }
\]
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\[
{} y^{\prime \prime }+2 y^{\prime } = 8 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime } = y^{\prime \prime }
\]
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\[
{} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x
\]
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\[
{} x y^{\prime \prime }+2 y^{\prime } = 6
\]
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\[
{} 2 x y^{\prime } y^{\prime \prime } = {y^{\prime }}^{2}-1
\]
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\[
{} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime }+2 {y^{\prime }}^{2} = 3 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = -{\mathrm e}^{-y} y^{\prime }
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2}-4 y = x^{3}
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2}-4 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2} = 4 y
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2}+4 y = y^{3}
\]
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\[
{} x y^{\prime }+3 y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }+y = 0
\]
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\[
{} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{3}
\]
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\[
{} y^{\prime \prime } = 2 y^{\prime }-5 y+30 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime }-83 y-25 = 0
\]
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\[
{} y y^{\prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime } = y
\]
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