| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 3 y^{\prime \prime }+5 y^{\prime }-2 y = 7 \,{\mathrm e}^{-2 t}
\]
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| \[
{} y^{\prime \prime }+9 y = 24 \sin \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )+\operatorname {Heaviside}\left (t -\pi \right )\right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = \operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -1\right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 5 \cos \left (t \right ) \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right )
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 36 t \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -1\right )\right )
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+13 y = 39 \operatorname {Heaviside}\left (t \right )-507 \left (t -2\right ) \operatorname {Heaviside}\left (t -2\right )
\]
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| \[
{} y^{\prime \prime }+4 y = 3 \operatorname {Heaviside}\left (t \right )-3 \operatorname {Heaviside}\left (t -4\right )+\left (2 t -5\right ) \operatorname {Heaviside}\left (t -4\right )
\]
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+5 y = 25 t \left (\operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -\frac {\pi }{2}\right )\right )
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+3 y = \operatorname {Heaviside}\left (t \right )-\operatorname {Heaviside}\left (t -1\right )+\operatorname {Heaviside}\left (t -2\right )-\operatorname {Heaviside}\left (t -3\right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime } = \left \{\begin {array}{cc} 4 & 0\le t <1 \\ 6 & 1\le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = \left \{\begin {array}{cc} 0 & 0\le t <1 \\ 1 & 1\le t <2 \\ -1 & 2\le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = \left \{\begin {array}{cc} 1 & 0\le t <2 \\ -1 & 2\le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }+y = \left \{\begin {array}{cc} t & 0\le t <\pi \\ -t & \pi \le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }+4 y = \left \{\begin {array}{cc} 8 t & 0\le t <\frac {\pi }{2} \\ 8 \pi & \frac {\pi }{2}\le t \end {array}\right .
\]
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| \[
{} y^{\prime \prime }+4 \pi ^{2} y = 3 \delta \left (t -\frac {1}{3}\right )-\delta \left (t -1\right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+2 y = 3 \delta \left (t -1\right )
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+29 y = 5 \delta \left (t -\pi \right )-5 \delta \left (t -2 \pi \right )
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 1-\delta \left (t -1\right )
\]
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = {\mathrm e}^{-\frac {t}{2}} \delta \left (t -1\right )
\]
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| \[
{} y^{\prime \prime }-7 y^{\prime }+6 y = \delta \left (t -1\right )
\]
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| \[
{} t^{2} y^{\prime \prime }+3 t y^{\prime }+y = t^{7}
\]
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| \[
{} t^{2} y^{\prime \prime }-6 t y^{\prime }+y \sin \left (2 t \right ) = \ln \left (t \right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }+\frac {y}{t} = t
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| \[
{} y^{\prime \prime }+t y^{\prime }-y \ln \left (t \right ) = \cos \left (2 t \right )
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| \[
{} t^{3} y^{\prime \prime }-2 t y^{\prime }+y = t^{4}
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 1
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{t}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }-7 y = 4
\]
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| \[
{} 3 y^{\prime \prime }+5 y^{\prime }-2 y = 3 t^{2}
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = x^{{3}/{2}} {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+4 y = 2 \sec \left (2 x \right )
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+\left (1-\frac {1}{4 x^{2}}\right ) y = x
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| \[
{} y^{\prime \prime }+y = f \left (x \right )
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x -\frac {1}{2}\right ) y^{\prime }+\frac {y}{2} = 0
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| \[
{} x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-y = 0
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{} y^{\prime \prime }-x^{2} y = 0
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| \[
{} x y^{\prime \prime }+y^{\prime }+y = 0
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| \[
{} x y^{\prime \prime }+x^{2} y = 0
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| \[
{} 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 } = a^{2} y
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| \[
{} x y^{\prime \prime }-y^{\prime } = x^{2} {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime } = \sin \left (2 x \right )
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| \[
{} y^{\prime \prime } = 9 y
\]
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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^{\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^{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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