\[ y''(x)-h\left (y'(x),a x+b y(x)\right )=0 \] ✗ Mathematica : cpu = 0.181984 (sec), leaf count = 0
, could not solve
DSolve[-h[Derivative[1][y][x], a*x + b*y[x]] + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \left (-\frac {a \left (\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}\right )-b \textit {\_a}}{b}\right )\boldsymbol {\mathrm {where}}\left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=-h \left (-\frac {a \textit {\_}b\left (\textit {\_a} \right )-b}{b \textit {\_}b\left (\textit {\_a} \right )}, b \textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )^{3}\right \}, \left \{\textit {\_a} =\frac {a x +b y \relax (x )}{b}, \textit {\_}b\left (\textit {\_a} \right )=\frac {b}{a +b \left (\frac {d}{d x}y \relax (x )\right )}\right \}, \left \{x =\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}, y \relax (x )=-\frac {a \left (\int \textit {\_}b\left (\textit {\_a} \right )d \textit {\_a} +c_{1}\right )-b \textit {\_a}}{b}\right \}\right ]\]