| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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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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| \[
{} \left (y-x^{2}+x \,{\mathrm e}^{y}\right ) y^{\prime \prime } = 2 x y-{\mathrm e}^{y}-x
\]
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| \[
{} 1+{y^{\prime }}^{2}+\frac {m y^{\prime \prime }}{\sqrt {1+{y^{\prime }}^{2}}} = 0
\]
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| \[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = 1
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }-1-{y^{\prime }}^{2} = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} a^{2} y^{\prime \prime } y^{\prime } = x
\]
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| \[
{} y^{3} y^{\prime \prime } = a
\]
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| \[
{} y^{\prime \prime } = a^{2}+k^{2} {y^{\prime }}^{2}
\]
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| \[
{} a^{2} {y^{\prime \prime }}^{2} = 1+{y^{\prime }}^{2}
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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| \[
{} y^{3} y^{\prime \prime } = a
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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| \[
{} a^{2} y^{\prime \prime } y^{\prime } = x
\]
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = a^{2}+k^{2} {y^{\prime }}^{2}
\]
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| \[
{} a^{2} {y^{\prime \prime }}^{2} = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\]
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| \[
{} 2 x^{2} \cos \left (y\right ) y^{\prime \prime }-2 x^{2} \sin \left (y\right ) {y^{\prime }}^{2}+x \cos \left (y\right ) y^{\prime }-\sin \left (y\right ) = \ln \left (x \right )
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} -x^{\prime \prime } = 1-x-x^{2}
\]
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| \[
{} y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} \frac {{y^{\prime \prime }}^{2}}{{y^{\prime }}^{2}}+\frac {y y^{\prime \prime }}{y^{\prime }}-y^{\prime } = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} 2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
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| \[
{} x^{\prime \prime } = x^{2}-4 x+\lambda
\]
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| \[
{} s^{2} t^{\prime \prime }+s t t^{\prime } = s
\]
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| \[
{} y y^{\prime \prime } = 1+y^{2}
\]
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| \[
{} {y^{\prime \prime }}^{{3}/{2}}+y = x
\]
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| \[
{} y y^{\prime }+y^{\prime \prime } = x^{2}
\]
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| \[
{} 1+{y^{\prime }}^{2}+2 y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+x {y^{\prime }}^{2} = 1
\]
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| \[
{} y^{\prime } y^{\prime \prime } = 1
\]
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| \[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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| \[
{} 1+{y^{\prime }}^{2}+y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime } {y^{\prime }}^{2}-x^{2} = 0
\]
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
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| \[
{} y y^{\prime }+y^{\prime \prime } = 2
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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| \[
{} y y^{\prime \prime } = 1+{y^{\prime }}^{2}
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| \[
{} y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime } = 2 x +\left (x^{2}-y^{\prime }\right )^{2}
\]
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| \[
{} {y^{\prime \prime }}^{2}-2 y^{\prime \prime }+{y^{\prime }}^{2}-2 x y^{\prime }+x^{2} = 0
\]
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| \[
{} 3 y y^{\prime } y^{\prime \prime } = -1+{y^{\prime }}^{3}
\]
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| \[
{} 4 y {y^{\prime }}^{2} y^{\prime \prime } = 3+{y^{\prime }}^{4}
\]
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| \[
{} y^{\prime \prime }-y y^{\prime } = 6
\]
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| \[
{} y^{\prime \prime }+\sqrt {y^{\prime }}+y = t
\]
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