3.35   ODE No. 35

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

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

Mathematica: cpu = 0.057507 (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 = 0.031 (sec), leaf count = 45 $$\{y\left(x\right)=\tanh (\int f\left(x\right)\mathrm{d}x\sqrt{a^2-b}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{a^2-b})\sqrt{a^2-b}-a\}$$

Sage: cpu = 0 (sec), leaf count = 0 $$\text{Maxima was unable to solve this ODE}$$