3.987   ODE No. 987

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

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

Mathematica: cpu = 0.099513 (sec), leaf count = 40 $$\left\{\{y(x)\to \sqrt{a}x\tanh (\sqrt{a}{\int }_1^{x}K[1]F(K[1])dK[1]+\sqrt{a}{c}_1)\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 26 $$\{y\left(x\right)=\tanh (\int F\left(x\right)x\mathrm{d}x\sqrt{a}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{a})x\sqrt{a}\}$$