2.715   ODE No. 715

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

$$y^{\prime }(x)=\frac{x^3\sqrt{x^2+4y(x)-4x}-\frac{x^2}{2}+\frac{x}{2}+1}{x+1}$$ ✓ Mathematica : cpu = 0.471678 (sec), leaf count = 104

$$\left\{\{y(x)\to \frac{1}{36}(4x^6-12x^5+33x^4-36x^3+27x^2-24x^3\log (x+1)+36x^2\log (x+1)-24c_1{x}^3+36c_1{x}^2+36x+36{\log }^2(x+1)-72x\log (x+1)-72c_{1}x+72c_1\log (x+1)+36c_1{}^2)\}\right\}$$ ✓ Maple : cpu = 0.686 (sec), leaf count = 39

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