3.990   ODE No. 990

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-F\left(x\right)(-{\left(y\left(x\right)\right)}^2+2x^{2}y\left(x\right)+1-x^4)+2x=0}}$$

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

Mathematica: cpu = 0.474060 (sec), leaf count = 49 $$\left\{\{y(x)\to \frac{e^{{\int }_1^{x}2F(K[5])dK[5]}}{c_1-\frac{1}{2}{e}^{\text{Integrate}[2F(K[5]),\{K[5],1,x\},\text{Assumptions}\to \text{True}]}}+x^2+1\}\right\}$$

Maple: cpu = 0.359 (sec), leaf count = 46 $$\{y\left(x\right)=1(\frac{\mathit{\_}\mathit{C}\mathit{1}{x}^2}{{\left({\mathrm{e}}^{\int F\left(x\right)\mathrm{d}x}\right)}^2}-x^2+\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{\int F\left(x\right)\mathrm{d}x}\right)}^2}+1){(\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{\int F\left(x\right)\mathrm{d}x}\right)}^2}-1)}^{-1}\}$$