3.201   ODE No. 201

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

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

Mathematica: cpu = 0.077510 (sec), leaf count = 38 $$\left\{\{y(x)\to i\sqrt{f(x)}\tan (c_1+i{\int }_1^x-\sqrt{f(K[1])}dK[1])\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 23 $$\{y\left(x\right)=i\tan (-i\int \sqrt{f\left(x\right)}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})\sqrt{f\left(x\right)}\}$$