2.201   ODE No. 201

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

$$-y(x)f^{\prime }(x)+2f(x)y^{\prime }(x)+2f(x)y(x{)}^2-2f(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0759424 (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 = 0.039 (sec), leaf count = 23

$$\{y\left(x\right)=i\tan (-i\int \sqrt{f\left(x\right)}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})\sqrt{f\left(x\right)}\}$$