3.732   ODE No. 732

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{-x^2-x-ax-a+2x^3\sqrt{x^2+2ax+a^2+4y\left(x\right)}}{1+x}=0}}$$

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

Mathematica: cpu = 0.497563 (sec), leaf count = 110 $$\left\{\{y(x)\to \frac{1}{36}(-9a^2-18ax-24c_1{x}^3+36c_1{x}^2-72c_{1}x+72c_1\log (x+1)+36c_1^2+4x^6-12x^5+33x^4-36x^3-24x^3\log (x+1)+27x^2+36x^2\log (x+1)+36{\log }^2(x+1)-72x\log (x+1))\}\right\}$$

Maple: cpu = 0.281 (sec), leaf count = 43 $$\{\mathit{\_}\mathit{C}\mathit{1}+\frac{2x^3}{3}-x^2+2x-2\ln (1+x)-\sqrt{x^2+2ax+a^2+4y\left(x\right)}=0\}$$