2.1708   ODE No. 1708

\[ a y(x) y'(x)-2 a y(x)^2+b y(x)^3+y(x) y''(x)-y'(x)^2=0 \] Mathematica : cpu = 37.6568 (sec), leaf count = 0


, could not solve

DSolve[-2*a*y[x]^2 + b*y[x]^3 + a*y[x]*Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]

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


, result contains DESol or ODESolStruc

\[y \relax (x ) = \textit {\_a} \boldsymbol {\mathrm {where}}\left [\left \{\left (\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )\right ) \textit {\_}b\left (\textit {\_a} \right )-\frac {\textit {\_}b\left (\textit {\_a} \right )^{2}-\textit {\_a} \textit {\_}b\left (\textit {\_a} \right ) a -b \,\textit {\_a}^{3}+2 \textit {\_a}^{2} a}{\textit {\_a}}=0\right \}, \left \{\textit {\_a} =y \relax (x ), \textit {\_}b\left (\textit {\_a} \right )=\frac {d}{d x}y \relax (x )\right \}, \left \{x =\int \frac {1}{\textit {\_}b\left (\textit {\_a} \right )}d \textit {\_a} +c_{1}, y \relax (x )=\textit {\_a} \right \}\right ]\]