3.265   ODE No. 265

$$\boxed{{\displaystyle (x^{n(n+1)}y\left(x\right)-1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2{(n+1)}^2{x}^{n-1}(x^{n^2}{\left(y\left(x\right)\right)}^2-1)=0}}$$

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

Mathematica: cpu = 407.590757 (sec), leaf count = 48 $$\text{DSolve}[2(n+1{)}^2{x}^{n-1}(x^{n^2}y(x{)}^2-1)+(x^{n(n+1)}y(x)-1)y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 4.680 (sec), leaf count = 0 $$\text{could not solve}$$