| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 8 x
\]
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{} t \left (y y^{\prime \prime }+{y^{\prime }}^{2}\right )+y y^{\prime } = 1
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{} x y^{\prime \prime \prime } = 2
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{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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{} \left (x -1\right ) y^{\prime \prime } = 1
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| \[
{} y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} y^{\prime \prime } \left (x +2\right )^{5} = 1
\]
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| \[
{} x y^{\prime \prime } = y^{\prime }
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 0
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| \[
{} x y^{\prime \prime } = \left (2 x^{2}+1\right ) y^{\prime }
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| \[
{} x y^{\prime \prime } = y^{\prime }+x^{2}
\]
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| \[
{} x \ln \left (x \right ) y^{\prime \prime } = y^{\prime }
\]
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| \[
{} 2 y^{\prime \prime } = \frac {y^{\prime }}{x}+\frac {x^{2}}{y^{\prime }}
\]
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| \[
{} y^{\prime \prime \prime } = \sqrt {1-{y^{\prime \prime }}^{2}}
\]
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| \[
{} x y^{\prime \prime \prime }-y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
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| \[
{} y^{\prime \prime } = {y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = \sqrt {1-{y^{\prime }}^{2}}
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = \sqrt {1+y^{\prime }}
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{} y^{\prime \prime } = y^{\prime } \ln \left (y^{\prime }\right )
\]
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| \[
{} y^{\prime \prime } = y^{\prime } \left (1+y^{\prime }\right )
\]
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| \[
{} 3 y^{\prime \prime } = \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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| \[
{} y^{\prime \prime \prime }+{y^{\prime \prime }}^{2} = 0
\]
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
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| \[
{} y^{\prime \prime } = 2 y y^{\prime }
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| \[
{} 3 y^{\prime } y^{\prime \prime } = 2 y
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| \[
{} 2 y^{\prime \prime } = 3 y^{2}
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
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| \[
{} y y^{\prime \prime } = {y^{\prime }}^{2}+y^{\prime }
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| \[
{} y y^{\prime \prime } = 1+{y^{\prime }}^{2}
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| \[
{} 2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
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| \[
{} y^{3} y^{\prime \prime } = -1
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{2} y^{\prime }
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| \[
{} y^{\prime \prime } = {\mathrm e}^{2 y}
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| \[
{} 2 y y^{\prime \prime }-3 {y^{\prime }}^{2} = 4 y^{2}
\]
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| \[
{} y^{\prime \prime \prime } = 3 y y^{\prime }
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+6 y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } = 0
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| \[
{} \left (x +2\right )^{2} y^{\prime \prime }+3 \left (x +2\right ) y^{\prime }-3 y = 0
\]
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{} \left (2 x +1\right )^{2} y^{\prime \prime }-2 \left (2 x +1\right ) y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime } = 0
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| \[
{} x^{2} y^{\prime \prime \prime } = 2 y^{\prime }
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{} \left (1+x \right )^{2} y^{\prime \prime \prime }-12 y^{\prime } = 0
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{} \left (2 x +1\right )^{2} y^{\prime \prime \prime }+2 \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = x \left (6-\ln \left (x \right )\right )
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{} x^{2} y^{\prime \prime }-2 y = \sin \left (\ln \left (x \right )\right )
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }-3 y = -\frac {16 \ln \left (x \right )}{x}
\]
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{} x^{2} y^{\prime \prime }-2 x y^{\prime }-2 y = x^{2}-2 x +2
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{m}
\]
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 2 \ln \left (x \right )^{2}+12 x
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{} \left (1+x \right )^{3} y^{\prime \prime }+3 \left (1+x \right )^{2} y^{\prime }+\left (1+x \right ) y = 6 \ln \left (1+x \right )
\]
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| \[
{} \left (x -2\right )^{2} y^{\prime \prime }-3 \left (x -2\right ) y^{\prime }+4 y = x
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| \[
{} \left (2 x +1\right ) y^{\prime \prime }+\left (4 x -2\right ) y^{\prime }-8 y = 0
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| \[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x -3\right ) y^{\prime }-2 y = 0
\]
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| \[
{} \left (2 x^{2}+3 x \right ) y^{\prime \prime }-6 y^{\prime } \left (1+x \right )+6 y = 6
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| \[
{} x^{2} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }+\left (\tan \left (x \right )-2 \cot \left (x \right )\right ) y^{\prime }+2 \cot \left (x \right )^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2} = 0
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{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }-y = 1
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }-3 y = 5 x^{4}
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = \left (x -1\right )^{2} {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y \,{\mathrm e}^{-2 x} = {\mathrm e}^{-3 x}
\]
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{} \left (x^{4}-x^{3}\right ) y^{\prime \prime }+\left (2 x^{3}-2 x^{2}-x \right ) y^{\prime }-y = \frac {\left (x -1\right )^{2}}{x}
\]
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| \[
{} y^{\prime \prime }-y^{\prime }+y \,{\mathrm e}^{2 x} = x \,{\mathrm e}^{2 x}-1
\]
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{} x \left (x -1\right ) y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+2 y = x^{2} \left (2 x -3\right )
\]
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| \[
{} x y^{\prime \prime }-\left (2 x^{2}+1\right ) y^{\prime } = 4 x^{3} {\mathrm e}^{x^{2}}
\]
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| \[
{} y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime } = 1
\]
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{} x \ln \left (x \right ) y^{\prime \prime }-y^{\prime } = \ln \left (x \right )^{2}
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{} x y^{\prime \prime }+\left (2 x -1\right ) y^{\prime } = -4 x^{2}
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{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime } = \cos \left (x \right ) \cot \left (x \right )
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| \[
{} 4 x y^{\prime \prime }+2 y^{\prime }+y = 1
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| \[
{} 4 x y^{\prime \prime }+2 y^{\prime }+y = \frac {x +6}{x^{2}}
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = \frac {1}{x^{2}+1}
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| \[
{} -y+x y^{\prime }+\left (1-x \right ) y^{\prime \prime } = \left (x -1\right )^{2} {\mathrm e}^{x}
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{} 2 x^{2} \left (2-\ln \left (x \right )\right ) y^{\prime \prime }+x \left (4-\ln \left (x \right )\right ) y^{\prime }-y = \frac {\left (2-\ln \left (x \right )\right )^{2}}{\sqrt {x}}
\]
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}-y = 4 \,{\mathrm e}^{x}
\]
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{} x^{3} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x^{2} y^{\prime }+x y = 2 \ln \left (x \right )
\]
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{} \left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-2 \left (1-x \right ) y = -2+2 x
\]
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| \[
{} x^{\prime \prime }+{x^{\prime }}^{2}+x = 0
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| \[
{} x^{\prime \prime }-2 {x^{\prime }}^{2}+x^{\prime }-2 x = 0
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| \[
{} x^{\prime \prime }-x \,{\mathrm e}^{x^{\prime }} = 0
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| \[
{} x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x = 0
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| \[
{} x^{\prime \prime }+x {x^{\prime }}^{2} = 0
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| \[
{} x^{\prime \prime }+\left (x+2\right ) x^{\prime } = 0
\]
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| \[
{} x^{\prime \prime }-x^{\prime }+x-x^{2} = 0
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
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{} x y^{\prime \prime }+y^{\prime } = 0
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{} 2 y^{\prime \prime }+4 x y^{\prime \prime \prime }+x^{2} y^{\prime \prime \prime \prime } = 0
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| \[
{} 6 x y^{\prime \prime }+6 x^{2} y^{\prime \prime \prime }+x^{3} y^{\prime \prime \prime \prime } = 0
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (4 x^{2}-\frac {1}{9}\right ) y = 0
\]
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{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+\frac {y}{9} = 0
\]
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{} y^{\prime \prime }+\frac {y^{\prime }}{x}+4 y = 0
\]
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{} x^{2} y^{\prime \prime }-2 x y^{\prime }+4 \left (x^{4}-1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+\frac {y^{\prime }}{2}+\frac {y}{4} = 0
\]
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| \[
{} y^{\prime \prime }+\frac {5 y^{\prime }}{x}+y = 0
\]
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