\[ {}y^{\prime \prime }+y = 0 \]

\[ {}y^{\prime \prime }+y = 0 \]

\[ {}y^{\prime \prime }+y = 0 \]

\[ {}y^{\prime \prime }-2 y^{\prime }-3 y = 0 \]

\[ {}y^{\prime \prime }+\left (1+4 i\right ) y^{\prime }+y = 0 \]

\[ {}y^{\prime \prime }+\left (-1+3 i\right ) y^{\prime }-3 i y = 0 \]

\[ {}y^{\prime \prime }+10 y = 0 \]

\[ {}y^{\prime \prime }+4 y = \cos \relax (x ) \]

\[ {}y^{\prime \prime }+9 y = \sin \left (3 x \right ) \]

\[ {}y^{\prime \prime }+y = \tan \relax (x ) \]

\[ {}y^{\prime \prime }+2 i y^{\prime }+y = x \]

\[ {}y^{\prime \prime }-4 y^{\prime }+5 y = 3 \,{\mathrm e}^{-x}+2 x^{2} \]

\[ {}y^{\prime \prime }-7 y^{\prime }+6 y = \sin \relax (x ) \]

\[ {}y^{\prime \prime }+y = 2 \sin \relax (x ) \sin \left (2 x \right ) \]

\[ {}y^{\prime \prime }+y = \sec \relax (x ) \]

\[ {}4 y^{\prime \prime }-y = {\mathrm e}^{x} \]

\[ {}6 y^{\prime \prime }+5 y^{\prime }-6 y = x \]

\[ {}y^{\prime \prime }+\omega ^{2} y = A \cos \left (\omega x \right ) \]

\[ {}y^{\prime \prime \prime }-8 y = 0 \]

\[ {}y^{\prime \prime \prime \prime }+16 y = 0 \]

\[ {}y^{\prime \prime \prime }-5 y^{\prime \prime }+6 y^{\prime } = 0 \]

\[ {}y^{\prime \prime \prime }-i y^{\prime \prime }+4 y^{\prime }-4 i y = 0 \]

\[ {}y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0 \]

\[ {}y^{\prime \prime \prime \prime }-16 y = 0 \]

\[ {}y^{\prime \prime \prime }-3 y^{\prime }-2 y = 0 \]

\[ {}y^{\prime \prime \prime }-3 i y^{\prime \prime }-3 y^{\prime }+i y = 0 \]

\[ {}y^{\prime \prime \prime }-4 y^{\prime } = 0 \]

\[ {}y^{\relax (5)}-y^{\prime \prime \prime \prime }-y^{\prime }+y = 0 \]

\[ {}y^{\prime \prime }+y = 0 \]

\[ {}y^{\prime \prime }-y = 0 \]

\[ {}y^{\prime \prime \prime \prime }-y = 0 \]

\[ {}y^{\relax (5)}+2 y = 0 \]

\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \]

\[ {}y^{\prime \prime \prime }+y = 0 \]

\[ {}y^{\prime \prime \prime }-i y^{\prime \prime }+y^{\prime }-i y = 0 \]

\[ {}y^{\prime \prime }-2 i y^{\prime }-y = 0 \]

\[ {}y^{\prime \prime \prime \prime }-k^{4} y = 0 \]

\[ {}y^{\prime \prime \prime }-y = x \]

\[ {}y^{\prime \prime \prime }-8 y = {\mathrm e}^{i x} \]

\[ {}y^{\prime \prime \prime \prime }+16 y = \cos \relax (x ) \]

\[ {}y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x} \]

\[ {}y^{\prime \prime \prime \prime }-y = \cos \relax (x ) \]

\[ {}y^{\prime \prime }-2 i y^{\prime }-y = {\mathrm e}^{i x}-2 \,{\mathrm e}^{-i x} \]

\[ {}y^{\prime \prime }+4 y = \cos \relax (x ) \]

\[ {}y^{\prime \prime }+4 y = \sin \left (2 x \right ) \]

\[ {}y^{\prime \prime }-4 y = 3 \,{\mathrm e}^{2 x}+4 \,{\mathrm e}^{-x} \]

\[ {}y^{\prime \prime }-y^{\prime }-2 y = x^{2}+\cos \relax (x ) \]

\[ {}y^{\prime \prime }+9 y = x^{2} {\mathrm e}^{3 x} \]

\[ {}y^{\prime \prime }+y = x \,{\mathrm e}^{x} \cos \left (2 x \right ) \]

\[ {}y^{\prime \prime }+i y^{\prime }+2 y = 2 \cosh \left (2 x \right )+{\mathrm e}^{-2 x} \]

\[ {}y^{\prime \prime \prime } = x^{2}+{\mathrm e}^{-x} \sin \relax (x ) \]

\[ {}y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = x^{2} {\mathrm e}^{-x} \]

\[ {}y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0 \]

\[ {}y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0 \]

\[ {}\left (3 x -1\right )^{2} y^{\prime \prime }+\left (9 x -3\right ) y^{\prime }-9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

\[ {}y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0 \]

\[ {}x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0 \]

\[ {}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]

\[ {}y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]

\[ {}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

\[ {}x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0 \]

\[ {}y^{\prime \prime }-x y^{\prime }+y = 0 \]

\[ {}y^{\prime \prime }+3 x^{2} y^{\prime }-x y = 0 \]

\[ {}y^{\prime \prime }-x^{2} y = 0 \]

\[ {}y^{\prime \prime }+x^{3} y^{\prime }+x^{2} y = 0 \]

\[ {}y^{\prime \prime }+y = 0 \]

\[ {}y^{\prime \prime }+\left (-1+x \right )^{2} y^{\prime }-\left (-1+x \right ) y = 0 \]

\[ {}\left (x^{2}+1\right ) y^{\prime \prime }+y = 0 \]

\[ {}y^{\prime \prime }+y \,{\mathrm e}^{x} = 0 \]

\[ {}y^{\prime \prime \prime }-x y = 0 \]

\[ {}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\alpha \left (\alpha +1\right ) y = 0 \]

\[ {}\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+\alpha ^{2} y = 0 \]

\[ {}y^{\prime \prime }-2 x y^{\prime }+2 \alpha y = 0 \]

\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = x^{2} \]

\[ {}x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 1 \]

\[ {}x^{2} y^{\prime \prime }-3 x y^{\prime }+5 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+\left (-2-i\right ) x y^{\prime }+3 i y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-4 \pi y = x \]

\[ {}x^{2} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }-y = 0 \]

\[ {}3 x^{2} y^{\prime \prime }+x^{6} y^{\prime }+2 x y = 0 \]

\[ {}x^{2} y^{\prime \prime }-5 y^{\prime }+3 x^{2} y = 0 \]

\[ {}x y^{\prime \prime }+4 y = 0 \]

\[ {}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0 \]

\[ {}\left (x^{2}+x -2\right )^{2} y^{\prime \prime }+3 \left (2+x \right ) y^{\prime }+\left (-1+x \right ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }+\sin \relax (x ) y^{\prime }+\cos \relax (x ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+\left (4 x^{4}-5 x \right ) y^{\prime }+\left (x^{2}+2\right ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }+\left (-3 x^{2}+x \right ) y^{\prime }+y \,{\mathrm e}^{x} = 0 \]

\[ {}3 x^{2} y^{\prime \prime }+5 x y^{\prime }+3 x y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x \,{\mathrm e}^{x} y^{\prime }+y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }+\left (x^{2}+5 x \right ) y^{\prime }+\left (x^{2}-2\right ) y = 0 \]