2.1644   ODE No. 1644

\[ h(y(x)) y'(x)^2+j(y(x)) y'(x)+k(y(x))+y''(x)=0 \] Mathematica : cpu = 34.6286 (sec), leaf count = 0


, could not solve

DSolve[k[y[x]] + j[y[x]]*Derivative[1][y][x] + h[y[x]]*Derivative[1][y][x]^2 + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0


, result contains DESol or ODESolStruc

\[y \relax (x ) = \textit {\_a} \boldsymbol {\mathrm {where}}\left [\left \{\left (\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )\right ) \textit {\_}b\left (\textit {\_a} \right )+h \left (\textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )^{2}+j \left (\textit {\_a} \right ) \textit {\_}b\left (\textit {\_a} \right )+k \left (\textit {\_a} \right )=0\right \}, \left \{\textit {\_a} =y \relax (x ), \textit {\_}b\left (\textit {\_a} \right )=\frac {d}{d x}y \relax (x )\right \}, \left \{x =\int \frac {1}{\textit {\_}b\left (\textit {\_a} \right )}d \textit {\_a} +c_{1}, y \relax (x )=\textit {\_a} \right \}\right ]\]