2.188   ODE No. 188

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ -a y(x)^3-b n x^3+x^{2 n+1} y'(x)=0 \] Mathematica : cpu = 14.0359 (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 = 0.027 (sec), leaf count = 32

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