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Mathematica |
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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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\[
{} x^{2} y^{\prime \prime \prime }-3 x y^{\prime \prime }+3 y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime \prime } = 2 y^{\prime }
\]
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\[
{} \left (1+x \right )^{2} y^{\prime \prime \prime }-12 y^{\prime } = 0
\]
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\[
{} \left (2 x +1\right )^{2} y^{\prime \prime \prime }+2 \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime } = \frac {x -1}{x^{3}}
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-\lambda ^{4} y = 0
\]
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\[
{} x^{2} y^{\prime \prime \prime \prime }+4 x y^{\prime \prime \prime }+2 y^{\prime \prime } = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime \prime }+6 x^{2} y^{\prime \prime \prime }+6 x y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime \prime }+y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-6 y = t \,{\mathrm e}^{-t}
\]
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\[
{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-9 y = 0
\]
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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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\[
{} t y^{\prime \prime \prime }+\sin \left (t \right ) y^{\prime \prime }+8 y = \cos \left (t \right )
\]
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\[
{} t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y = 0
\]
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\[
{} y^{\prime \prime \prime }+t y^{\prime \prime }+t^{2} y^{\prime }+t^{2} y = \ln \left (t \right )
\]
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\[
{} \left (-4+x \right ) y^{\prime \prime \prime \prime }+\left (1+x \right ) y^{\prime \prime }+y \tan \left (x \right ) = 0
\]
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\[
{} \left (x^{2}-2\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+3 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }+4 y = 0
\]
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\[
{} t y^{\prime \prime \prime }+\sin \left (t \right ) y^{\prime \prime }+4 y = \cos \left (t \right )
\]
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\[
{} t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+7 t^{2} y = 0
\]
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\[
{} y^{\prime \prime \prime }+t y^{\prime \prime }+5 t^{2} y^{\prime }+2 t^{3} y = \ln \left (t \right )
\]
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\[
{} \left (x -1\right ) y^{\prime \prime \prime \prime }+\left (x +5\right ) y^{\prime \prime }+y \tan \left (x \right ) = 0
\]
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\[
{} \left (x^{2}-25\right ) y^{\left (6\right )}+x^{2} y^{\prime \prime }+5 y = 0
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }+4 y^{\prime \prime }-4 y^{\prime }-16 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }+9 y^{\prime \prime } = 0
\]
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\[
{} x y^{\prime \prime \prime }-y^{\prime \prime } = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} {y^{\prime \prime \prime }}^{2}+x^{2} = 1
\]
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\[
{} 2 x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+12 x y^{\prime }-12 y = 0
\]
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\[
{} y^{\prime \prime \prime }-\frac {3 y^{\prime \prime }}{x}+\frac {6 y^{\prime }}{x^{2}}-\frac {6 y}{x^{3}} = 0
\]
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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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\[
{} x y^{\prime \prime \prime }-y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime \prime }-x y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} \left (x^{2}+2\right ) y^{\prime \prime \prime }-2 x y^{\prime \prime }+y^{\prime } \left (x^{2}+2\right )-2 x y = x^{4}+12
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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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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\[
{} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = x^{3}+3 x
\]
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\[
{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-5 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }-y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 a^{2} y^{\prime \prime }+a^{4} y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0
\]
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\[
{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0
\]
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\[
{} y^{\prime \prime \prime \prime } = 0
\]
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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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