2.659   ODE No. 659

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

$$y^{\prime }(x)=x\sqrt{a^2{x}^2+2abx+4ay(x)+b^2-4c}-\frac{ax}{2}-\frac{b}{2}$$ ✓ Mathematica : cpu = 0.401827 (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 = 0.21 (sec), leaf count = 41

$$\{\mathit{\_}\mathit{C}\mathit{1}+a{x}^2+\frac{a}{2}-\sqrt{a^2{x}^2+2abx+b^2+4ay\left(x\right)-4c}=0\}$$