3.659   ODE No. 659

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-1/2ax-b/2+x\sqrt{a^2{x}^2+2abx+b^2+4ay\left(x\right)-4c}=0}}$$

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

Mathematica: cpu = 0.440556 (sec), leaf count = 60 $$\left\{\{y(x)\to \frac{-4a^2{c}_1{x}^2+4a^2{c}_1^2+a^2{x}^4-a^2{x}^2-2abx-b^2+4c}{4a}\}\right\}$$

Maple: cpu = 0.187 (sec), leaf count = 41 $$\{\mathit{\_}\mathit{C}\mathit{1}+a{x}^2+\frac{a}{2}-\sqrt{a^2{x}^2+2abx+b^2+4ay\left(x\right)-4c}=0\}$$