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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\left (x^{2}+1\right ) y^{\prime \prime }+6 x y^{\prime }+4 y = 0 \]

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

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }-6 x y^{\prime }+12 y = 0 \]

\[ {}\left (x^{2}+3\right ) y^{\prime \prime }-7 x y^{\prime }+16 y = 0 \]

\[ {}\left (-x^{2}+2\right ) y^{\prime \prime }-x y^{\prime }+16 y = 0 \]

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }+8 x y^{\prime }+12 y = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}\left (-x^{2}+2 x \right ) y^{\prime \prime }-6 \left (-1+x \right ) y^{\prime }-4 y = 0 \]

\[ {}\left (x^{2}-6 x +10\right ) y^{\prime \prime }-4 \left (x -3\right ) y^{\prime }+6 y = 0 \]

\[ {}\left (4 x^{2}+16 x +17\right ) y^{\prime \prime } = 8 y \]

\[ {}\left (x^{2}+6 x \right ) y^{\prime \prime }+\left (3 x +9\right ) y^{\prime }-3 y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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