3.663   ODE No. 663

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

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

Mathematica: cpu = 2.294291 (sec), leaf count = 101 $$\{\{y(x)\to -\frac{\sqrt{147456a^{7}x-4096a^6{x}^6+128a^3{e}^{c_1}{x}^3-e^{2c_1}}}{192a^3}\},\{y(x)\to \frac{\sqrt{147456a^{7}x-4096a^6{x}^6+128a^3{e}^{c_1}{x}^3-e^{2c_1}}}{192a^3}\}\}$$

Maple: cpu = 0.125 (sec), leaf count = 27 $$\{-\sqrt{-{\left(y\left(x\right)\right)}^2+4ax}-\frac{x^3}{3}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$