2.634   ODE No. 634

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

$$y^{\prime }(x)=\frac{x^5\sqrt{4x^{2}y(x)+1}+\frac{1}{2}}{x^3}$$ ✓ Mathematica : cpu = 0.190646 (sec), leaf count = 31

$$\left\{\{y(x)\to \frac{1}{16}(-8c_1{x}^4+16c_1^2+x^8-\frac{4}{x^2})\}\right\}$$

✓ Maple : cpu = 0.248 (sec), leaf count = 26

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