\[ h(y(x))^2 \left (-j\left (x,\frac {y'(x)}{h(y(x))}\right )\right )+h(y(x)) y''(x)-h(y(x)) y'(x)^2=0 \] ✗ Mathematica : cpu = 1.39196 (sec), leaf count = 0 , could not solve
DSolve[-(h[y[x]]^2*j[x, Derivative[1][y][x]/h[y[x]]]) - h[y[x]]*Derivative[1][y][x]^2 + h[y[x]]*Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 0.951 (sec), leaf count = 71
\[\left \{y \left (x \right ) = \mathit {ODESolStruc} \left (\RootOf \left (c_{1}+\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -\left (\int _{}^{\textit {\_Z}}\frac {1}{h \left (\textit {\_f} \right )}d \textit {\_f} \right )\right ), \left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=1\right \}, \left \{\textit {\_a} =x , \textit {\_}b\left (\textit {\_a} \right )=\frac {\frac {d}{d x}y \left (x \right )}{h \left (y \left (x \right )\right )}\right \}, \left \{x =\textit {\_a} , y \left (x \right )=\RootOf \left (c_{1}+\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} -\left (\int _{}^{\textit {\_Z}}\frac {1}{h \left (\textit {\_f} \right )}d \textit {\_f} \right )\right )\right \}\right ]\right )\right \}\]