2.690   ODE No. 690

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

$$y^{\prime }(x)=\frac{x^3\sqrt{x^2+8y(x)-2x+1}-\frac{x^2}{4}+\frac{1}{4}}{x+1}$$ ✓ Mathematica : cpu = 0.515458 (sec), leaf count = 105

$$\left\{\{y(x)\to \frac{1}{72}(16x^6-48x^5+132x^4-144x^3+135x^2-96x^3\log (x+1)+144x^2\log (x+1)-96c_1{x}^3+144c_1{x}^2+18x+144{\log }^2(x+1)-288x\log (x+1)-288c_{1}x+288c_1\log (x+1)-9+144c_1{}^2)\}\right\}$$ ✓ Maple : cpu = 0.657 (sec), leaf count = 40

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