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 = 0.466894 (sec), leaf count = 48

$$\left\{\{y(x)\to -\frac{2e^{{\int }_1^{x}2F(K[5])dK[5]}}{e^{\text{Integrate}[2F(K[5]),\{K[5],1,x\},\text{Assumptions}\to \text{True}]}-2c_1}+x^2+1\}\right\}$$

✓ Maple : cpu = 0.743 (sec), leaf count = 44

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