2.990   ODE No. 990

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

$$y^{\prime }(x)=2x-F(x)(-x^4+2x^{2}y(x)-y(x{)}^2+1)$$ ✓ Mathematica : cpu = 0.460755 (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 = 0.505 (sec), leaf count = 46

$$\{y\left(x\right)=1(\frac{\mathit{\_}\mathit{C}\mathit{1}{x}^2}{{\left({\mathrm{e}}^{\int F\left(x\right)\mathrm{d}x}\right)}^2}-x^2+\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{\int F\left(x\right)\mathrm{d}x}\right)}^2}+1){(\frac{\mathit{\_}\mathit{C}\mathit{1}}{{\left({\mathrm{e}}^{\int F\left(x\right)\mathrm{d}x}\right)}^2}-1)}^{-1}\}$$