\[ y''(x) \left (\text {f1}(x) y'(x)+\text {f2}(x) y(x)\right )+\text {f3}(x) y'(x)^2+\text {f4}(x) y(x) y'(x)+\text {f5}(x) y(x)^2=0 \] ✗ Mathematica : cpu = 302.556 (sec), leaf count = 0
, timed out
$Aborted
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \left ({\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=-\frac {\textit {\_}b\left (\textit {\_a} \right )^{3} \mathit {f1} +\left (\mathit {f2} +\mathit {f3} \right ) \textit {\_}b\left (\textit {\_a} \right )^{2}+\mathit {f4} \left (\textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )+\mathit {f5} \left (\textit {\_a} \right )}{\textit {\_}b\left (\textit {\_a} \right ) \mathit {f1} +\mathit {f2}}\right \}, \left \{\textit {\_a} =x , \textit {\_}b\left (\textit {\_a} \right )=\frac {\frac {d}{d x}y \relax (x )}{y \relax (x )}\right \}, \left \{x =\textit {\_a} , y \relax (x )={\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right \}\right ]\]