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 = 14.0018 (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 = 0.023 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( -\ln \left ( x \right ) +{\it \_C1}+\int ^{{\it \_Z}}\! \left ( {{\it \_a}}^{3}a-n{\it \_a}+b \right ) ^{-1}{d{\it \_a}} \right ) {x}^{n} \right \} \]