3.829   ODE No. 829

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{1+2\sqrt{4x^{2}y\left(x\right)+1}{x}^3+2x^5\sqrt{4x^{2}y\left(x\right)+1}+2x^6\sqrt{4x^{2}y\left(x\right)+1}}{x^3}=0}}$$

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

Mathematica: cpu = 0.388549 (sec), leaf count = 74 $$\left\{\{y(x)\to \frac{-160c_1{x}^7-200c_1{x}^6-400c_1{x}^4+400c_1^2{x}^2+16x^{12}+40x^{11}+25x^{10}+80x^9+100x^8+100x^6-100}{400x^2}\}\right\}$$

Maple: cpu = 0.297 (sec), leaf count = 40 $$\{-\mathit{\_}\mathit{C}\mathit{1}+\frac{1}{x}(-4x^6-5x^5-10x^3+10\sqrt{4x^{2}y\left(x\right)+1})=0\}$$