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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }-6 y^{\prime }+9 y = 0 \]

\[ {}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]

\[ {}9 y^{\prime \prime }+6 y^{\prime }+y = 0 \]

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

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

\[ {}9 y^{\prime \prime }-12 y^{\prime }+4 y = 0 \]

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

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

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

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

\[ {}\left (-t^{2}+1\right ) y^{\prime \prime }-2 t y^{\prime }+6 y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }+7 y^{\prime }+12 y = 0 \]

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

\[ {}y^{\prime \prime }-7 y^{\prime }+6 y = 0 \]

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

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

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

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

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

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

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

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

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

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

\[ {}4 x^{2} y^{\prime \prime }-16 x y^{\prime }+25 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+5 x y^{\prime }+10 y = 0 \]

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

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

\[ {}x^{\prime \prime } = \frac {k^{2}}{x^{2}} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }+6 y^{\prime }+9 y = 0 \]

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