2.690   ODE No. 690

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

$$y^{\prime }(x)=\frac{-\frac{x^2}{4}+x^3\sqrt{x^2+8y(x)-2x+1}+\frac{1}{4}}{x+1}$$ ✓ Mathematica : cpu = 0.418562 (sec), leaf count = 106

$$\left\{\{y(x)\to -\frac{2}{3}(-6c_1+2x^3-3x^2+6x+11)\log (4(x+1))+\frac{1}{72}((32-96c_1)x^3+3(48c_1-43)x^2-6(48c_1-91)x+144c_1^2-528c_1+16x^6-48x^5+132x^4+475)+2{\log }^2(4(x+1))\}\right\}$$

✓ Maple : cpu = 0.342 (sec), leaf count = 40

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