3.97   ODE No. 97

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

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

Mathematica: cpu = 0.024503 (sec), leaf count = 46 $$\left\{\{y(x)\to -\frac{\sqrt{b}x\tan (\sqrt{a}\sqrt{b}x-\sqrt{a}\sqrt{b}{c}_1)}{\sqrt{a}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 31 $$\{y\left(x\right)=-\frac{x}{a}\tan (\mathit{\_}\mathit{C}\mathit{1}\sqrt{ab}+x\sqrt{ab})\sqrt{ab}\}$$