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

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

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

\[ {}x^{2} y^{\prime \prime }-x \left (x +6\right ) y^{\prime }+10 y = 0 \]

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

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

\[ {}y^{\prime \prime }+8 x y^{\prime }-4 y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\left (x^{3}+x^{2}\right ) y^{\prime \prime }+\left (x^{2}-2 x \right ) y^{\prime }+4 y = 0 \]

\[ {}\left (x^{4}-2 x^{3}+x^{2}\right ) y^{\prime \prime }+2 \left (-1+x \right ) y^{\prime }+x^{2} y = 0 \]

\[ {}\left (x^{5}+x^{4}-6 x^{3}\right ) y^{\prime \prime }+x^{2} y^{\prime }+\left (-2+x \right ) y = 0 \]

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

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

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+\frac {8}{9}\right ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+\left (2 x^{2}+\frac {5}{9}\right ) y = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+\frac {3 y}{4} = 0 \]

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

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

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+8 \left (x^{2}-1\right ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x^{2} y^{\prime }-\frac {3 y}{4} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}x \left (1-x \right ) y^{\prime \prime }+\left (1-5 x \right ) y^{\prime }-4 y = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime }+\frac {2 y}{2 x -1} = 0 \]

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

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

\[ {}y^{\prime }+\frac {y}{-1+x} = 0 \]

\[ {}y^{\prime }+\frac {y}{-1+x} = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}\left (-x^{2}+4\right ) y^{\prime \prime }-5 x y^{\prime }-3 y = 0 \]

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

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

\[ {}\left (x^{2}-6 x \right ) y^{\prime \prime }+4 \left (x -3\right ) y^{\prime }+2 y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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