2.35   ODE No. 35

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

$$f(x)(2ay(x)+b+y(x{)}^2)+y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.057591 (sec), leaf count = 60

$$\left\{\{y(x)\to \sqrt{b-a^2}\tan (\sqrt{b-a^2}{\int }_1^x-f(K[1])dK[1]+c_1\sqrt{b-a^2})-a\}\right\}$$

✓ Maple : cpu = 0.044 (sec), leaf count = 45

$$\{y\left(x\right)=\tanh (\int f\left(x\right)\mathrm{d}x\sqrt{a^2-b}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{a^2-b})\sqrt{a^2-b}-a\}$$