3.661   ODE No. 661

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

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

Mathematica: cpu = 0.420553 (sec), leaf count = 61 $$\left\{\{y(x)\to \frac{-24a^2{c}_1{x}^3+36a^2{c}_1^2+4a^2{x}^6-9a^2{x}^2-18abx-9b^2+36c}{36a}\}\right\}$$

Maple: cpu = 0.218 (sec), leaf count = 39 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{2a{x}^3}{3}-\sqrt{a^2{x}^2+2abx+b^2+4ay\left(x\right)-4c}=0\}$$