2.188   ODE No. 188

\[ -a y(x)^3-b n x^3+x^{2 n+1} y'(x)=0 \] Mathematica : cpu = 12.8835 (sec), leaf count = 0


, could not solve

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

Maple : cpu = 0.029 (sec), leaf count = 32


\[y \relax (x ) = \RootOf \left (-\ln \relax (x )+c_{1}+\int _{}^{\textit {\_Z}}\frac {1}{\textit {\_a}^{3} a -n \textit {\_a} +b}d \textit {\_a} \right ) x^{n}\]