2.1631   ODE No. 1631

\[ -(f(x)+3 y(x)) y'(x)+f(x) y(x)^2+y''(x)+y(x)^3=0 \] Mathematica : cpu = 0.0516968 (sec), leaf count = 75


\[\left \{\left \{y(x)\to \frac {-\int _1^x\exp \left (\int _1^{K[2]}f(K[1])dK[1]\right ) c_1dK[2]-c_2}{\int _1^x\int _1^{K[5]}\exp \left (\int _1^{K[4]}f(K[3])dK[3]\right ) c_1dK[4]dK[5]+c_2 x+1}\right \}\right \}\] Maple : cpu = 0.062 (sec), leaf count = 38


\[y \relax (x ) = \frac {-\left (\int c_{1} {\mathrm e}^{\int f \relax (x )d x}d x \right )-c_{2}}{\int \int c_{1} {\mathrm e}^{\int f \relax (x )d x}d x d x +x c_{2}+1}\]