2.849   ODE No. 849

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

$$y^{\prime }(x)=x^2\sqrt{x^2+4y(x)-4x}+\sqrt{x^2+4y(x)-4x}+x^3\sqrt{x^2+4y(x)-4x}-\frac{x}{2}+1$$ ✓ Mathematica : cpu = 0.381354 (sec), leaf count = 73

$$\left\{\{y(x)\to -\frac{1}{6}(3c_1-4)x^4-\frac{2c_1{x}^3}{3}-2c_{1}x+c_1^2+\frac{x^8}{16}+\frac{x^7}{6}+\frac{x^6}{9}+\frac{x^5}{2}+\frac{3x^2}{4}+x\}\right\}$$

✓ Maple : cpu = 0.286 (sec), leaf count = 33

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