| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\alpha ^{2} y = 0
\]
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| \[
{} y^{\prime \prime }-\alpha ^{2} y = 0
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| \[
{} y^{\prime \prime }+\beta y^{\prime }+\gamma y = 0
\]
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| \[
{} n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-\nu ^{2}+x^{2}\right ) y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+9 y = 18 t
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+3 y = f \left (t \right )
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = \left \{\begin {array}{cc} t & 0\le t \le 3 \\ t +2 & 3<t \end {array}\right .
\]
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| \[
{} x^{\prime \prime }+2 t x^{\prime }-4 x = 1
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| \[
{} c v^{\prime \prime }+\frac {v^{\prime }}{r}+\frac {v}{L} = \delta \left (t -1\right )-\delta \left (t \right )
\]
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| \[
{} y^{\prime \prime }-2 k y^{\prime }+k^{2} y = {\mathrm e}^{x}
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }-a^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x} = 0
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| \[
{} y^{\prime \prime } = \frac {1}{2 y^{\prime }}
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| \[
{} y^{\prime \prime } = a^{2} y
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| \[
{} y^{\prime \prime } = \frac {a}{y^{3}}
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| \[
{} x y^{\prime \prime }-y^{\prime } = x^{2} {\mathrm e}^{x}
\]
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| \[
{} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime } = \sin \left (2 x \right )
\]
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| \[
{} {y^{\prime \prime }}^{2}+{y^{\prime }}^{2} = a^{2}
\]
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| \[
{} y^{\prime \prime } = \frac {1}{2 y^{\prime }}
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| \[
{} y^{\prime \prime } = 9 y
\]
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }-y = 0
\]
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| \[
{} y^{\prime \prime }+12 y = 7 y^{\prime }
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+10 y = 0
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| \[
{} y^{\prime \prime }+3 y^{\prime }-2 y = 0
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} 12 y-7 y^{\prime }+y^{\prime \prime } = x
\]
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| \[
{} s^{\prime \prime }-a^{2} s = t +1
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = 8 \sin \left (2 x \right )
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| \[
{} y^{\prime \prime }-y = 5 x +2
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| \[
{} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+6 y^{\prime }+5 y = {\mathrm e}^{2 x}
\]
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| \[
{} y^{\prime \prime }+9 y = 6 \,{\mathrm e}^{3 x}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime } = 2-6 x
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+3 y = {\mathrm e}^{-x} \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }+4 y = 2 \sin \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0
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| \[
{} y^{\prime \prime }+n^{2} y = h \sin \left (r x \right )
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| \[
{} y^{\prime \prime }-7 y^{\prime }+6 y = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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| \[
{} y^{\prime \prime }+y = \frac {1}{\cos \left (2 x \right )^{{3}/{2}}}
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| \[
{} y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\]
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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| \[
{} y^{\prime \prime }-4 y = {\mathrm e}^{2 x} \sin \left (2 x \right )
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| \[
{} x^{\prime \prime }+x-x^{3} = 0
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| \[
{} x^{\prime \prime }+x+x^{3} = 0
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| \[
{} x^{\prime \prime }+x^{\prime }+x-x^{3} = 0
\]
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| \[
{} x^{\prime \prime }+x^{\prime }+x+x^{3} = 0
\]
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| \[
{} x^{\prime \prime } = \left (2 \cos \left (x\right )-1\right ) \sin \left (x\right )
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime } = 0
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| \[
{} x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
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| \[
{} 3 y^{\prime \prime }-2 y^{\prime }+4 y = x
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| \[
{} x \left (x -3\right ) y^{\prime \prime }+3 y^{\prime } = x^{2}
\]
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| \[
{} x \left (x -3\right ) y^{\prime \prime }+3 y^{\prime } = x^{2}
\]
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| \[
{} \sqrt {1-x}\, y^{\prime \prime }-4 y = \sin \left (x \right )
\]
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| \[
{} \left (x^{2}-4\right ) y^{\prime \prime }+y \ln \left (x \right ) = x \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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| \[
{} 2 y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} y^{\prime \prime }-4 y = 31
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| \[
{} y^{\prime \prime }+9 y = 27 x +18
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = -3 x -\frac {3}{x}
\]
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }-3 y = 0
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| \[
{} y^{\prime \prime }+\alpha y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }-9 y = 2 \sin \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }+9 y = 2 \sin \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }+y^{\prime }-2 y = x \,{\mathrm e}^{x}-3 x^{2}
\]
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| \[
{} y^{\prime \prime }-9 y = x +2
\]
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| \[
{} y^{\prime \prime }+9 y = x +2
\]
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| \[
{} y^{\prime \prime }-y^{\prime }+6 y = -2 \sin \left (3 x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = -x^{2}+1
\]
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| \[
{} y^{\prime \prime }+9 y = 1
\]
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