2.989   ODE No. 989

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

$$y^{\prime }(x)=\frac{y(x)}{x}-F(x)(-ay(x{)}^2-b{x}^2)$$ ✓ Mathematica : cpu = 0.10304 (sec), leaf count = 55

$$\left\{\{y(x)\to \frac{\sqrt{b}x\tan (\sqrt{a}\sqrt{b}{\int }_1^{x}K[1]F(K[1])dK[1]+\sqrt{a}\sqrt{b}{c}_1)}{\sqrt{a}}\}\right\}$$

✓ Maple : cpu = 0.039 (sec), leaf count = 35

$$\{y\left(x\right)=\frac{x}{a}\tan (\int F\left(x\right)x\mathrm{d}x\sqrt{ab}+\mathit{\_}\mathit{C}\mathit{1}\sqrt{ab})\sqrt{ab}\}$$