2.188   ODE No. 188

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

$$-ay(x{)}^3-bn{x}^3+x^{2n+1}{y}^{\prime }(x)=0$$ ✗ 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

$$\{y\left(x\right)=\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}+{\int }^{\mathit{\_}\mathit{Z}}{({\mathit{\_}\mathit{a}}^{3}a-n\mathit{\_}\mathit{a}+b)}^{-1}d\mathit{\_}\mathit{a})x^n\}$$