\[ \text {f0}(x) y(x) y''(x)+\text {f1}(x) y'(x)^2+\text {f2}(x) y(x) y'(x)+\text {f3}(x) y(x)^2=0 \] ✗ Mathematica : cpu = 45.0461 (sec), leaf count = 0
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]
, 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
dsolve(f0(x)*y(x)*diff(diff(y(x),x),x)+f1(x)*diff(y(x),x)^2+f2(x)*y(x)*diff(y(x),x)+f3(x)*y(x)^2=0,y(x))
, result contains DESol or ODESolStruc
\[y \left (x \right ) = \left ({\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right )\:\& \text {where}\:\left [\left \{\frac {d}{d \textit {\_a}}\textit {\_}b\left (\textit {\_a} \right )=-\frac {\left (\operatorname {f1} \left (\textit {\_a} \right )+\operatorname {f0} \left (\textit {\_a} \right )\right ) \textit {\_}b\left (\textit {\_a} \right )^{2}}{\operatorname {f0} \left (\textit {\_a} \right )}-\frac {\operatorname {f2} \left (\textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )}{\operatorname {f0} \left (\textit {\_a} \right )}-\frac {\operatorname {f3} \left (\textit {\_a} \right )}{\operatorname {f0} \left (\textit {\_a} \right )}\right \}, \left \{\textit {\_a} =x , \textit {\_}b\left (\textit {\_a} \right )=\frac {\frac {d}{d x}y \left (x \right )}{y \left (x \right )}\right \}, \left \{x =\textit {\_a} , y \left (x \right )={\mathrm e}^{\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}}\right \}\right ]\]