2.829   ODE No. 829

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

$$y^{\prime }(x)=\frac{x^6\sqrt{4x^{2}y(x)+1}+x^5\sqrt{4x^{2}y(x)+1}+x^3\sqrt{4x^{2}y(x)+1}+\frac{1}{2}}{x^3}$$ ✓ Mathematica : cpu = 0.383536 (sec), leaf count = 81

$$\left\{\{y(x)\to -\frac{2c_1{x}^5}{5}-\frac{1}{4}(2c_1-1)x^4-c_1{x}^2+c_1^2+\frac{x^{10}}{25}+\frac{x^9}{10}+\frac{x^8}{16}+\frac{x^7}{5}+\frac{x^6}{4}-\frac{1}{4x^2}\}\right\}$$

✓ Maple : cpu = 0.491 (sec), leaf count = 40

$$\{-\mathit{\_}\mathit{C}\mathit{1}+\frac{1}{x}(-4x^6-5x^5-10x^3+10\sqrt{4x^{2}y\left(x\right)+1})=0\}$$