2.652   ODE No. 652

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

$$y^{\prime }(x)=\frac{x\sqrt{4ax-y(x{)}^2}+2a}{y(x)}$$ ✓ Mathematica : cpu = 1.8022 (sec), leaf count = 101

$$\{\{y(x)\to -\frac{\sqrt{4096a^{5}x-256a^4{x}^4+32a^2{e}^{c_1}{x}^2-e^{2c_1}}}{32a^2}\},\{y(x)\to \frac{\sqrt{4096a^{5}x-256a^4{x}^4+32a^2{e}^{c_1}{x}^2-e^{2c_1}}}{32a^2}\}\}$$

✓ Maple : cpu = 0.184 (sec), leaf count = 27

$$\{-\sqrt{-{\left(y\left(x\right)\right)}^2+4ax}-\frac{x^2}{2}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$