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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = {\mathrm e}^{4 x}
\]
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\[
{} y^{\prime \prime }-y = 5 x +2
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }-15 y = 15 x^{2}
\]
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\[
{} y^{\prime \prime }+y = \sec \left (x \right )^{2}
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 \,{\mathrm e}^{\frac {5 x}{2}}
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{-x}
\]
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\[
{} y^{\prime \prime }+2 p y^{\prime }+\left (p^{2}+q^{2}\right ) y = {\mathrm e}^{k x}
\]
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\[
{} y^{\prime \prime }+9 y = \sin \left (2 x \right )+\cos \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y a^{2} = \cos \left (a x \right )+\cos \left (b x \right )
\]
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\[
{} y^{\prime \prime }+4 y = {\mathrm e}^{x}+\sin \left (2 x \right )
\]
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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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\[
{} y^{\prime \prime }-4 y = 2 \sin \left (\frac {x}{2}\right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (3 x \right )-\cos \left (\frac {x}{2}\right )^{2}
\]
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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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\[
{} y^{\prime \prime }-2 y^{\prime }+5 y = {\mathrm e}^{2 x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+4 y = {\mathrm e}^{x} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-y = \cosh \left (x \right ) \cos \left (x \right )
\]
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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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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime }+y = a \,x^{2}+b \,{\mathrm e}^{-x} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }-12 y = \left (x -1\right ) {\mathrm e}^{2 x}
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = x \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = x^{2} \cos \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }-y = x \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+y = x \,{\mathrm e}^{x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 8 x^{2} {\mathrm e}^{2 x} \sin \left (2 x \right )
\]
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\[
{} y^{\prime \prime }+y = {\mathrm e}^{-x}+\cos \left (x \right )+x^{3}+{\mathrm e}^{x} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime }+y = {\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {\sqrt {3}\, x}{2}\right )
\]
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\[
{} y^{\left (6\right )}-2 y^{\left (5\right )}+3 y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+3 y^{\prime \prime }-2 y^{\prime }+y = \sin \left (\frac {x}{2}\right )^{2}+{\mathrm e}^{x}
\]
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\[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime }+16 y = 16 x^{2}+256
\]
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\[
{} y^{\prime \prime }+y = 3 \cos \left (x \right )^{2}+2 \sin \left (x \right )^{3}
\]
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\[
{} y^{\prime \prime \prime \prime }+10 y^{\prime \prime }+9 y = 96 \sin \left (2 x \right ) \cos \left (x \right )
\]
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\[
{} y^{\left (5\right )}-13 y^{\prime \prime \prime }+26 y^{\prime \prime }+82 y^{\prime }+104 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+10 y+37 \sin \left (3 x \right ) = 0
\]
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\[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y = 24 x \cos \left (x \right )
\]
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\[
{} {y^{\prime }}^{2}-7 y^{\prime }+12 = 0
\]
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\[
{} {y^{\prime }}^{2}-5 y^{\prime }+6 = 0
\]
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\[
{} {y^{\prime }}^{2}-9 y^{\prime }+18 = 0
\]
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\[
{} {y^{\prime }}^{2}+2 x y^{\prime }-3 x^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+2 y y^{\prime } \cot \left (x \right ) = y^{2}
\]
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\[
{} {y^{\prime }}^{2}-2 y^{\prime } \cosh \left (x \right )+1 = 0
\]
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\[
{} y^{\prime } \left (y^{\prime }-y\right ) = x \left (x +y\right )
\]
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\[
{} y {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }-x = 0
\]
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\[
{} x +y {y^{\prime }}^{2} = \left (x y+1\right ) y^{\prime }
\]
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\[
{} {y^{\prime }}^{2} x +\left (y-x \right ) y^{\prime }-y = 0
\]
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\[
{} {y^{\prime }}^{3}-a \,x^{4} = 0
\]
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\[
{} {y^{\prime }}^{2}+x y^{\prime }+y y^{\prime }+x y = 0
\]
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\[
{} {y^{\prime }}^{3}-y^{\prime } \left (x^{2}+x y+y^{2}\right )+x y \left (x +y\right ) = 0
\]
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\[
{} \left (y^{\prime }+y+x \right ) \left (x y^{\prime }+x +y\right ) \left (y^{\prime }+2 x \right ) = 0
\]
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\[
{} x^{2} {y^{\prime }}^{3}+y \left (x^{2} y+1\right ) {y^{\prime }}^{2}+y^{2} y^{\prime } = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}+x y y^{\prime }-6 y^{2} = 0
\]
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\[
{} {y^{\prime }}^{3}+2 {y^{\prime }}^{2} x -y^{2} {y^{\prime }}^{2}-2 x y^{2} y^{\prime } = 0
\]
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\[
{} \left (2-3 y\right )^{2} {y^{\prime }}^{2} = 4-4 y
\]
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\[
{} y = 3 x +a \ln \left (y^{\prime }\right )
\]
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\[
{} {y^{\prime }}^{2}-y y^{\prime }+x = 0
\]
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\[
{} y = x +a \arctan \left (y^{\prime }\right )
\]
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\[
{} 3 {y^{\prime }}^{5}-y y^{\prime }+1 = 0
\]
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\[
{} y = {y^{\prime }}^{2} x +y^{\prime }
\]
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\[
{} {y^{\prime }}^{2} x +a x = 2 y y^{\prime }
\]
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\[
{} {y^{\prime }}^{3}+y^{\prime } = {\mathrm e}^{y}
\]
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\[
{} y = \sin \left (y^{\prime }\right )-y^{\prime } \cos \left (y^{\prime }\right )
\]
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\[
{} y = \sin \left (x \right ) y^{\prime }+\cos \left (x \right )
\]
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\[
{} y = \ln \left (\cos \left (y^{\prime }\right )\right )+y^{\prime } \tan \left (y^{\prime }\right )
\]
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\[
{} x = y y^{\prime }-{y^{\prime }}^{2}
\]
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\[
{} \left (2 x -b \right ) y^{\prime } = y-a y {y^{\prime }}^{2}
\]
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\[
{} x = y+a \ln \left (y^{\prime }\right )
\]
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\[
{} y {y^{\prime }}^{2}+2 x y^{\prime } = y
\]
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\[
{} \left (1+{y^{\prime }}^{2}\right ) x = 1
\]
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\[
{} x^{2} = a^{2} \left (1+{y^{\prime }}^{2}\right )
\]
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\[
{} y = x y^{\prime }+\frac {a}{y^{\prime }}
\]
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\[
{} y = x y^{\prime }+y^{\prime }-{y^{\prime }}^{3}
\]
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\[
{} y = x y^{\prime }+a y^{\prime } \left (1-y^{\prime }\right )
\]
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\[
{} y = x y^{\prime }+\sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} y = x y^{\prime }+\sqrt {b^{2}-a^{2} {y^{\prime }}^{2}}
\]
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\[
{} \left (y-x y^{\prime }\right ) \left (y^{\prime }-1\right ) = y^{\prime }
\]
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\[
{} {y^{\prime }}^{2} x -y y^{\prime }+a = 0
\]
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\[
{} y = y^{\prime } \left (x -b \right )+\frac {a}{y^{\prime }}
\]
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\[
{} y = x y^{\prime }+{y^{\prime }}^{3}
\]
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\[
{} 4 y {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
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\[
{} y {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
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\[
{} x +\frac {y^{\prime }}{\sqrt {1+{y^{\prime }}^{2}}} = a
\]
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\[
{} x^{2} {y^{\prime }}^{2}-2 x y y^{\prime }+2 y^{2} = x^{2}
\]
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\[
{} y = x y^{\prime }+x \sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} x +y^{\prime } y \left (2 {y^{\prime }}^{2}+3\right ) = 0
\]
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\[
{} y = \frac {2 a {y^{\prime }}^{2}}{\left (1+{y^{\prime }}^{2}\right )^{2}}
\]
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\[
{} \left (x y^{\prime }-y\right )^{2} = a \left (1+{y^{\prime }}^{2}\right ) \left (x^{2}+y^{2}\right )^{{3}/{2}}
\]
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\[
{} 4 {y^{\prime }}^{2} x +4 y y^{\prime } = y^{4}
\]
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\[
{} 2 {y^{\prime }}^{3}-\left (2 x +4 \sin \left (x \right )-\cos \left (x \right )\right ) {y^{\prime }}^{2}-\left (x \cos \left (x \right )-4 x \sin \left (x \right )+\sin \left (2 x \right )\right ) y^{\prime }+\sin \left (2 x \right ) x = 0
\]
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\[
{} \left (x y^{\prime }-y\right )^{2} = {y^{\prime }}^{2}-\frac {2 y y^{\prime }}{x}+1
\]
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\[
{} y-x y^{\prime } = y y^{\prime }+x
\]
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\[
{} a^{2} y {y^{\prime }}^{2}-4 x y^{\prime }+y = 0
\]
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\[
{} x^{2} \left (y-x y^{\prime }\right ) = y {y^{\prime }}^{2}
\]
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\[
{} \left ({y^{\prime }}^{2}-\frac {1}{a^{2}-x^{2}}\right ) \left (y^{\prime }-\sqrt {\frac {y}{x}}\right ) = 0
\]
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\[
{} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}+a^{4} = 0
\]
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\[
{} y y^{\prime }+x = a {y^{\prime }}^{2}
\]
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\[
{} x y {y^{\prime }}^{2}+\left (3 x^{2}-2 y^{2}\right ) y^{\prime }-6 x y = 0
\]
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