2.663   ODE No. 663

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

$$y^{\prime }(x)=\frac{x^2\sqrt{4ax-y(x{)}^2}+2a}{y(x)}$$ ✓ Mathematica : cpu = 2.32392 (sec), leaf count = 103

$$\{\{y(x)\to -\frac{\sqrt{4096a^{6}x(36a-x^5)+128a^3{e}^{c_1}{x}^3-e^{2c_1}}}{192a^3}\},\{y(x)\to \frac{\sqrt{4096a^{6}x(36a-x^5)+128a^3{e}^{c_1}{x}^3-e^{2c_1}}}{192a^3}\}\}$$

✓ Maple : cpu = 0.183 (sec), leaf count = 27

$$\{-\sqrt{-{\left(y\left(x\right)\right)}^2+4ax}-\frac{x^3}{3}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$