3.634   ODE No. 634

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{1+2x^5\sqrt{4x^{2}y\left(x\right)+1}}{x^3}=0}}$$

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

Mathematica: cpu = 0.184523 (sec), leaf count = 33 $$\left\{\{y(x)\to \frac{-8c_1{x}^6+16c_1^2{x}^2+x^{10}-4}{16x^2}\}\right\}$$

Maple: cpu = 0.187 (sec), leaf count = 26 $$\{\mathit{\_}\mathit{C}\mathit{1}-\frac{1}{x}\sqrt{4x^{2}y\left(x\right)+1}+\frac{x^4}{2}=0\}$$