3.186   ODE No. 186

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

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

Mathematica: cpu = 0.029004 (sec), leaf count = 19 $$\left\{\{y(x)\to x^{n-1}\tan (c_1-\log (x))\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 17 $$\{y\left(x\right)=\tan (-\ln \left(x\right)+\mathit{\_}\mathit{C}\mathit{1})x^{n-1}\}$$