2.712   ODE No. 712

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

$$y^{\prime }(x)=\frac{\frac{x^2}{2}+x^3\sqrt{x^2-4y(x)+2x+1}+x+\frac{1}{2}}{x+1}$$ ✓ Mathematica : cpu = 0.514569 (sec), leaf count = 105

$$\left\{\{y(x)\to \frac{1}{36}(-4x^6+12x^5-33x^4+36x^3+24x^3\log (x+1)+24c_1{x}^3-27x^2-36x^2\log (x+1)-36c_1{x}^2+18x-36{\log }^2(x+1)+72x\log (x+1)+72c_{1}x-72c_1\log (x+1)+9-36c_1{}^2)\}\right\}$$ ✓ Maple : cpu = 0.493 (sec), leaf count = 38

$$\{-\frac{2x^3}{3}+x^2+c_1-2x+2\ln (x+1)-\sqrt{x^2+2x-4y\left(x\right)+1}=0\}$$