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

\[ {}y^{\left (5\right )}-y^{\prime \prime \prime \prime } = x \,{\mathrm e}^{x}-1 \]

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime \prime }+y^{\prime \prime } = \frac {-1+x}{x^{3}} \]

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

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

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

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