3.847   ODE No. 847

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

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

Mathematica: cpu = 0.365046 (sec), leaf count = 69 $$\left\{\{y(x)\to \frac{1}{144}(72c_1{x}^4+96c_1{x}^3+288c_{1}x-144c_1^2-9x^8-24x^7-16x^6-72x^5-96x^4-108x^2+72x+36)\}\right\}$$

Maple: cpu = 0.265 (sec), leaf count = 36 $$\{-\frac{1}{2}\sqrt{x^2+2x+1-4y\left(x\right)}-\frac{x^4}{4}-\frac{x^3}{3}-x-\mathit{\_}\mathit{C}\mathit{1}=0\}$$