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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} y^{\prime \prime \prime \prime }-2 n^{2} y^{\prime \prime }+n^{4} y = \cos \left (n x +\alpha \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x} x
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime } = 1
\]
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\[
{} 5 y^{\prime \prime \prime }-7 y^{\prime \prime } = 3
\]
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\[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime } = -6
\]
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\[
{} 3 y^{\prime \prime \prime \prime }+y^{\prime \prime \prime } = 2
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = 1
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = x^{2}+x
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+2 y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = x^{2}+x
\]
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\[
{} y^{\prime \prime \prime }-y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime } = {\mathrm e}^{x}+1
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{x} x +\frac {\cos \left (x \right )}{2}
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime } = {\mathrm e}^{x}+3 \sin \left (2 x \right )+1
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}+2 x
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 4 x +3 \sin \left (x \right )+\cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime } = x \,{\mathrm e}^{2 x}+\sin \left (x \right )+x^{2}
\]
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\[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime } = {\mathrm e}^{x} x -1
\]
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\[
{} y^{\left (5\right )}-y^{\prime \prime \prime } = x +2 \,{\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime } = -2 x
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }-y = 2 x
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 8 \,{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime } = \frac {x -1}{x^{3}}
\]
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\[
{} y^{\prime \prime \prime \prime }-6 y = t \,{\mathrm e}^{-t}
\]
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\[
{} y^{\prime \prime \prime \prime }-y = \operatorname {Heaviside}\left (t -1\right )-\operatorname {Heaviside}\left (t -2\right )
\]
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\[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 1-\operatorname {Heaviside}\left (t -\pi \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-y = \delta \left (t -1\right )
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = g \left (t \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime }+16 y = g \left (t \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+3 y = t
\]
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\[
{} {y^{\prime \prime \prime }}^{2}+x^{2} = 1
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x} x
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = \left (1+x \right ) {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime } = \sin \left (x \right )+24
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 10+42 \,{\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime } = 1
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime }+y = 2 x^{3}-3 x^{2}+4 x +5
\]
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\[
{} y^{\left (5\right )}-y^{\prime \prime \prime } = x^{2}
\]
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\[
{} y^{\left (6\right )}-y = x^{10}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime } = 12 x -2
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime } = 9 x^{2}-2 x +1
\]
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\[
{} y^{\prime \prime \prime }-8 y = 16 x^{2}
\]
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\[
{} y^{\prime \prime \prime \prime }-y = -x^{3}+1
\]
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\[
{} y^{\prime \prime \prime }-\frac {y^{\prime }}{4} = x
\]
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\[
{} y^{\prime \prime \prime \prime } = \frac {1}{x^{3}}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime } = 1+x
\]
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\[
{} y^{\prime \prime \prime }+2 y^{\prime \prime } = x
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-x}
\]
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\[
{} x^{\prime \prime \prime \prime }-6 x^{\prime \prime \prime }+11 x^{\prime \prime }-6 x^{\prime } = {\mathrm e}^{-3 t}
\]
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\[
{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }+3 y^{\prime } = x^{2}
\]
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\[
{} y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime } = x
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = x
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-4 y = x
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime }-y = x^{4}
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }-8 y^{\prime }+12 y = X \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }+y = 3+{\mathrm e}^{-x}+5 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }-y = \left ({\mathrm e}^{x}+1\right )^{2}
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime } = x^{2}
\]
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\[
{} y^{\prime \prime \prime }+8 y = x^{4}+2 x +1
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime }+y = \sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2}
\]
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\[
{} y^{\prime \prime \prime \prime }+y = x \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{2 x}+x^{2}+x
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-6 y^{\prime }+8 y = x
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+y^{\prime \prime } = x^{2} \left (b x +a \right )
\]
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\[
{} y^{\prime \prime \prime }-13 y^{\prime }+12 y = x
\]
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\[
{} y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = \cos \left (m x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = x^{2} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-a^{4} y = x^{4}
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x
\]
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\[
{} y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-7 y^{\prime }-6 y = {\mathrm e}^{2 x} \left (1+x \right )
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = {\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }+4 y = x^{2} {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x} x +{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = {\mathrm e}^{x}+\cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime \prime }+y = {\mathrm e}^{2 x} \sin \left (x \right )+{\mathrm e}^{\frac {x}{2}} \sin \left (\frac {\sqrt {3}\, x}{2}\right )
\]
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\[
{} y^{\prime \prime \prime } = {\mathrm e}^{x} x
\]
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\[
{} y^{\left (5\right )}-m^{2} y^{\prime \prime \prime } = {\mathrm e}^{a x}
\]
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\[
{} y^{\prime \prime \prime } = \sin \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime \prime } = f \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-12 y = \cos \left (4 x \right )
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 = 0
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = x
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }-6 y^{\prime } = x^{2}+1
\]
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\[
{} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{2 x}+x^{2}+x
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }-7 y^{\prime }-6 y = {\mathrm e}^{2 x} \left (1+x \right )
\]
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