2.857   ODE No. 857

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

$$y^{\prime }(x)=x^2\sqrt{x^2+8y(x)-2x+1}+\sqrt{x^2+8y(x)-2x+1}+x^3\sqrt{x^2+8y(x)-2x+1}-\frac{x}{4}+\frac{1}{4}$$ ✓ Mathematica : cpu = 0.341279 (sec), leaf count = 69

$$\left\{\{y(x)\to \frac{1}{72}(-72c_1{x}^4-96c_1{x}^3-288c_{1}x+144c_1^2+9x^8+24x^7+16x^6+72x^5+96x^4+135x^2+18x-9)\}\right\}$$

✓ Maple : cpu = 0.392 (sec), leaf count = 36

$$\{\frac{1}{4}\sqrt{x^2-2x+1+8y\left(x\right)}-\frac{x^4}{4}-\frac{x^3}{3}-x-\mathit{\_}\mathit{C}\mathit{1}=0\}$$