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Mathematica |
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\[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+7 y^{\prime \prime }-5 y^{\prime }+6 y = 5 \sin \left (x \right )-12 \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }+6 y = 3 \,{\mathrm e}^{x} x +2 \,{\mathrm e}^{x}-\sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime }-4 y = 8 x^{2}+3-6 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = x^{2} {\mathrm e}^{x}+3 x \,{\mathrm e}^{2 x}+5 x^{2}
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = x \,{\mathrm e}^{2 x}+x^{2} {\mathrm e}^{3 x}
\]
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\[
{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }+4 y^{\prime \prime }+3 y^{\prime }+y = x^{2} {\mathrm e}^{-x}+3 \,{\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {\sqrt {3}\, x}{2}\right )
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = x^{2} \sin \left (2 x \right )+x^{4} {\mathrm e}^{2 x}
\]
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\[
{} y^{\left (6\right )}+2 y^{\left (5\right )}+5 y^{\prime \prime \prime \prime } = x^{3}+x^{2} {\mathrm e}^{-x}+{\mathrm e}^{-x} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = x^{2} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+16 y = x \,{\mathrm e}^{\sqrt {2}\, x} \sin \left (\sqrt {2}\, x \right )+{\mathrm e}^{-\sqrt {2}\, x} \cos \left (\sqrt {2}\, x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = \cos \left (x \right )^{2}-\cosh \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y = \sin \left (2 x \right ) \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = x^{2} {\mathrm e}^{x}
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-10 x y^{\prime }-8 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }-6 x y^{\prime }+18 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = x^{3}
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+7 y^{\prime }-3 y = 20 \sin \left (t \right )
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 36 t \,{\mathrm e}^{4 t}
\]
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\[
{} t^{3} x^{\prime \prime \prime }-3 t^{2} x^{\prime \prime }+6 t x^{\prime }-6 x = 0
\]
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\[
{} t^{3} x^{\prime \prime \prime }-\left (3+t \right ) t^{2} x^{\prime \prime }+2 t \left (3+t \right ) x^{\prime }-2 \left (3+t \right ) x = 0
\]
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\[
{} x^{\prime \prime \prime }-6 x^{\prime \prime }+11 x^{\prime }-6 x = {\mathrm e}^{-t}
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y = \sin \left (x \right )
\]
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\[
{} x^{\prime \prime \prime \prime }-4 x^{\prime \prime \prime }+8 x^{\prime \prime }-8 x^{\prime }+4 x = \sin \left (t \right )
\]
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\[
{} x^{\prime \prime \prime \prime }-5 x^{\prime \prime }+4 x = {\mathrm e}^{t}
\]
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\[
{} y^{\prime }+y^{\prime \prime \prime }-3 y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = x^{2}-{\mathrm e}^{x}
\]
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\[
{} {y^{\prime \prime \prime }}^{2}+{y^{\prime \prime }}^{2} = 1
\]
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\[
{} x^{\left (6\right )}-x^{\prime \prime \prime \prime } = 1
\]
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\[
{} x^{\prime \prime \prime \prime }-2 x^{\prime \prime }+x = t^{2}-3
\]
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\[
{} y^{\prime \prime \prime }-y = {\mathrm e}^{x}
\]
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\[
{} y^{\left (6\right )}-3 y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = x
\]
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\[
{} x^{\prime \prime \prime \prime }+2 x^{\prime \prime }+x = \cos \left (t \right )
\]
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\[
{} x^{\prime \prime \prime \prime }+x = t^{3}
\]
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\[
{} y^{\left (6\right )}-y = {\mathrm e}^{2 x}
\]
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\[
{} y^{\left (6\right )}+2 y^{\prime \prime \prime \prime }+y^{\prime \prime } = x +{\mathrm e}^{x}
\]
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\[
{} 6 y^{\prime \prime } y^{\prime \prime \prime \prime }-5 {y^{\prime \prime \prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime \prime }+x y = \sin \left (x \right )
\]
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\[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime } = 2 x^{2}+3
\]
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\[
{} y^{\prime \prime }+y y^{\prime \prime \prime \prime } = 1
\]
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\[
{} y^{\prime \prime \prime }+x y = \cosh \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }+x y = \cosh \left (x \right )
\]
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\[
{} y^{\prime \prime \prime } = 1
\]
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\[
{} y^{\prime \prime \prime }+x y^{\prime \prime }-y^{2} = \sin \left (x \right )
\]
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\[
{} \sin \left (y^{\prime \prime }\right )+y y^{\prime \prime \prime \prime } = 1
\]
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\[
{} {y^{\prime \prime \prime }}^{2}+\sqrt {y} = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} 3 y^{\prime \prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime }+8 y^{\prime \prime }+16 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }+6 y^{\prime \prime }+13 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+13 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }+29 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }+6 y^{\prime \prime }+25 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+10 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }+4 y^{\prime }+4 y = 8
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 4 t
\]
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\[
{} y^{\prime \prime \prime }-y^{\prime \prime }+4 y^{\prime }-4 y = 8 \,{\mathrm e}^{2 t}-5 \,{\mathrm e}^{t}
\]
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\[
{} y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-y = -t^{2}+2 t -10
\]
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\[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 12 \operatorname {Heaviside}\left (t \right )-12 \operatorname {Heaviside}\left (t -1\right )
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = 32 \operatorname {Heaviside}\left (t \right )-32 \operatorname {Heaviside}\left (t -\pi \right )
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 5
\]
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\[
{} y^{\prime \prime \prime } = 2 y^{\prime \prime }-4 y^{\prime }+\sin \left (t \right )
\]
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\[
{} y^{\prime \prime \prime }+\frac {3 y^{\prime \prime }}{x} = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime \prime } = 2
\]
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\[
{} y^{\prime \prime \prime } = {y^{\prime \prime }}^{2}
\]
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\[
{} y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 a y^{\prime \prime }+3 a^{2} y^{\prime }-a^{3} y = 0
\]
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\[
{} y^{\left (5\right )}-4 y^{\prime \prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-a^{4} y = 0
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 2 x +3
\]
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\[
{} y^{\prime \prime \prime \prime }-a^{4} y = 5 a^{4} {\mathrm e}^{a x} \sin \left (a x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 8 \cos \left (a x \right )
\]
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\[
{} y^{\prime \prime \prime }-7 y^{\prime \prime }+12 y^{\prime } = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\]
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\[
{} x y^{\prime \prime \prime }+x y^{\prime } = 4
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+6 y^{\prime }-4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-16 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+8 y^{\prime \prime }-8 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-8 y^{\prime } = 0
\]
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\[
{} 36 y^{\prime \prime \prime \prime }-12 y^{\prime \prime \prime }-11 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\left (5\right )}-3 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
\]
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\[
{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }+35 y^{\prime \prime }+16 y^{\prime }-52 y = 0
\]
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\[
{} y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y = 0
\]
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\[
{} y^{\prime \prime \prime }+\left (-3-4 i\right ) y^{\prime \prime }+\left (-4+12 i\right ) y^{\prime }+12 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+\left (-3-i\right ) y^{\prime \prime \prime }+\left (4+3 i\right ) y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+13 y^{\prime \prime }-12 y^{\prime }+4 y = 2 \,{\mathrm e}^{x}-4 \,{\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime } = 24 x^{2}-6 x +14+32 \cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 3+\cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 6 x -20-120 x^{2} {\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+21 y^{\prime }-26 y = 36 \,{\mathrm e}^{2 x} \sin \left (3 x \right )
\]
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