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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y \ln \left (y\right )-2 x y+\left (x +y\right ) y^{\prime } = 0
\]
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\[
{} y^{2}+x y+1+\left (x^{2}+x y+1\right ) y^{\prime } = 0
\]
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\[
{} x^{3}+x y^{3}+3 y^{2} y^{\prime } = 0
\]
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\[
{} y^{\prime } = \frac {2 y}{x}+\frac {x^{3}}{y}+x \tan \left (\frac {y}{x^{2}}\right )
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} x y y^{\prime \prime } = y^{\prime }+{y^{\prime }}^{3}
\]
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\[
{} y^{\prime \prime }-k^{2} y = 0
\]
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\[
{} x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\]
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\[
{} 2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime } = 4 x
\]
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\[
{} \left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\]
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\[
{} y y^{\prime \prime } = y^{2} y^{\prime }+{y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime } = {\mathrm e}^{y} y^{\prime }
\]
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\[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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\[
{} x y^{\prime }+y = x
\]
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\[
{} x^{2} y^{\prime }+y = x^{2}
\]
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\[
{} x^{2} y^{\prime } = y
\]
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\[
{} \sec \left (x \right ) y^{\prime } = \sec \left (y\right )
\]
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\[
{} y^{\prime } = \frac {x^{2}+y^{2}}{x^{2}-y^{2}}
\]
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\[
{} y^{\prime } = \frac {x +2 y}{2 x -y}
\]
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\[
{} 2 x y+x^{2} y^{\prime } = 0
\]
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\[
{} -\sin \left (x \right ) \sin \left (y\right )+\cos \left (x \right ) \cos \left (y\right ) y^{\prime } = 0
\]
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\[
{} x y^{\prime }-y = 2 x
\]
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\[
{} x^{2} y^{\prime }-2 y = 3 x^{2}
\]
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\[
{} y^{2} y^{\prime } = x
\]
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\[
{} \csc \left (x \right ) y^{\prime } = \csc \left (y\right )
\]
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\[
{} y^{\prime } = \frac {x +y}{x -y}
\]
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\[
{} y^{\prime } = \frac {x^{2}+2 y^{2}}{x^{2}-2 y^{2}}
\]
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\[
{} 2 x \cos \left (y\right )-x^{2} \sin \left (y\right ) y^{\prime } = 0
\]
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\[
{} \frac {1}{y}-\frac {x y^{\prime }}{y^{2}} = 0
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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\[
{} x y^{\prime \prime } = y^{\prime }-2 {y^{\prime }}^{3}
\]
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\[
{} y y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} x y^{\prime \prime }-3 y^{\prime } = 5 x
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+8 y = 0
\]
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\[
{} 2 y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+20 y = 0
\]
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\[
{} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0
\]
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\[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
\]
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\[
{} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime } = 4 y
\]
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\[
{} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
\]
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\[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }-5 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-10 y = 6 \,{\mathrm e}^{4 x}
\]
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\[
{} y^{\prime \prime }+4 y = 3 \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+10 y^{\prime }+25 y = 14 \,{\mathrm e}^{-5 x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 25 x^{2}+12
\]
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\[
{} y^{\prime \prime }-y^{\prime }-6 y = 20 \,{\mathrm e}^{-2 x}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 14 \sin \left (2 x \right )-18 \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y = 2 \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime } = 12 x -10
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 6 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+2 y = {\mathrm e}^{x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 10 x^{4}+2
\]
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\[
{} y^{\prime \prime }+4 y = 4 \cos \left (2 x \right )+6 \cos \left (x \right )+8 x^{2}-4 x
\]
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\[
{} y^{\prime \prime }+9 y = 2 \sin \left (3 x \right )+4 \sin \left (x \right )-26 \,{\mathrm e}^{-2 x}+27 x^{3}
\]
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\[
{} y^{\prime \prime }-3 y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime } = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+4 y = \tan \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-x} \ln \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-3 y = 64 x \,{\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = {\mathrm e}^{-x} \sec \left (2 x \right )
\]
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\[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-3 x}
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \frac {1}{1+{\mathrm e}^{-x}}
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \cot \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }+y = \cot \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y = x \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \tan \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right ) \tan \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 x
\]
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\[
{} y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{-x}
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = \left (x^{2}-1\right )^{2}
\]
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