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

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

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

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

\[ {}\left (x^{2}+2 x \right ) y^{\prime \prime }+\left (x^{2}+x +10\right ) y^{\prime } = \left (25-6 x \right ) y \]

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

\[ {}\left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x^{2}+4 x -3\right ) y^{\prime }+8 x y = 0 \]

\[ {}\left (2 \sin \left (x \right )-\cos \left (x \right )\right ) y^{\prime \prime }+\left (7 \sin \left (x \right )+4 \cos \left (x \right )\right ) y^{\prime }+10 \cos \left (x \right ) y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}x^{2} y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]

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

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

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

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

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

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

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

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

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

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

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

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

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

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

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

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

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

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 0 \]

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

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

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

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0 \]

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

\[ {}x^{2} y^{\prime \prime }-19 x y^{\prime }+100 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+29 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+10 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+5 x y^{\prime }+29 y = 0 \]

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

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

\[ {}4 x^{2} y^{\prime \prime }+37 y = 0 \]

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

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-25 y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+8 x y^{\prime }+5 y = 0 \]

\[ {}3 x^{2} y^{\prime \prime }-7 x y^{\prime }+3 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y = 0 \]

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

\[ {}x^{2} y^{\prime \prime }-11 x y^{\prime }+36 y = 0 \]

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

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

\[ {}x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0 \]

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

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

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-30 y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+8 x y^{\prime }+y = 0 \]

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

\[ {}9 x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0 \]

\[ {}x y^{\prime \prime } = 3 y^{\prime } \]

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

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

\[ {}x^{2} y^{\prime \prime }-12 x y^{\prime }+42 y = 0 \]

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

\[ {}t^{2} y^{\prime \prime }-12 t y^{\prime }+42 y = 0 \]

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

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }-16 y = 0 \]