2.732   ODE No. 732

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

$$y^{\prime }(x)=\frac{x^3\sqrt{a^2+2ax+x^2+4y(x)}-\frac{ax}{2}-\frac{a}{2}-\frac{x^2}{2}-\frac{x}{2}}{x+1}$$ ✓ Mathematica : cpu = 0.549042 (sec), leaf count = 105

$$\left\{\{y(x)\to -\frac{a^2}{4}-\frac{ax}{2}-\frac{2c_1{x}^3}{3}+c_1{x}^2+(2c_1-\frac{2x^3}{3}+x^2-2x)\log (x+1)-2c_{1}x+c_1^2+\frac{x^6}{9}-\frac{x^5}{3}+\frac{11x^4}{12}-x^3+\frac{3x^2}{4}+{\log }^2(x+1)\}\right\}$$

✓ Maple : cpu = 0.396 (sec), leaf count = 43

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