3.819   ODE No. 819

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

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

Mathematica: cpu = 0.230029 (sec), leaf count = 65 $$\left\{\{y(x)\to \frac{1}{192}(-72c_1{x}^4-96c_1{x}^3-288c_{1}x+144c_1^2+9x^8+24x^7+16x^6+72x^5+96x^4+80x^2)\}\right\}$$

Maple: cpu = 0.265 (sec), leaf count = 32 $$\{\frac{2}{3}\sqrt{x^2+3y\left(x\right)}-\frac{x^4}{4}-\frac{x^3}{3}-x-\mathit{\_}\mathit{C}\mathit{1}=0\}$$