2.694   ODE No. 694

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

$$y^{\prime }(x)=\frac{x^3\sqrt{4x^{2}y(x)+1}+\frac{x}{2}+\frac{1}{2}}{x^3(x+1)}$$ ✓ Mathematica : cpu = 0.266836 (sec), leaf count = 66

$$\left\{\{y(x)\to \frac{-8c_1{x}^3+4c_1^2{x}^2+8c_1{x}^2\log (x+1)+4x^4-8x^3\log (x+1)+4x^2{\log }^2(x+1)-1}{4x^2}\}\right\}$$

✓ Maple : cpu = 0.281 (sec), leaf count = 30

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