\[ \text {f0}(x) y(x) y''(x)+\text {f1}(x) y'(x)^2+\text {f2}(x) y(x) y'(x)+\text {f3}(x) y(x)^2=0 \] ✗ Mathematica : cpu = 44.9543 (sec), leaf count = 0
, could not solve
DSolve[f3[x]*y[x]^2 + f2[x]*y[x]*Derivative[1][y][x] + f1[x]*Derivative[1][y][x]^2 + f0[x]*y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \left ({\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=-\frac {\left (\mathit {f1} \left (\textit {\_a} \right )+\mathit {f0} \left (\textit {\_a} \right )\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}}{\mathit {f0} \left (\textit {\_a} \right )}-\frac {\mathit {f2} \left (\textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )}{\mathit {f0} \left (\textit {\_a} \right )}-\frac {\mathit {f3} \left (\textit {\_a} \right )}{\mathit {f0} \left (\textit {\_a} \right )}\right \}, \left \{\textit {\_a} =x , \textit {\_}b\left (\textit {\_a} \right )=\frac {\frac {d}{d x}y \relax (x )}{y \relax (x )}\right \}, \left \{x =\textit {\_a} , y \relax (x )={\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right \}\right ]\]