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 = 0.40609 (sec), leaf count = 66

$$\left\{\{y(x)\to \frac{4x^4+4x^2{\log }^2(x+1)-8x^3\log (x+1)-8c_1{x}^3+4c_1{}^2{x}^2+8c_1{x}^2\log (x+1)-1}{4x^2}\}\right\}$$ ✓ Maple : cpu = 0.688 (sec), leaf count = 30

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