2.216   ODE No. 216

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

$$(y(x)-2x+1)y^{\prime }(x)+y(x)+x=0$$ ✓ Mathematica : cpu = 0.0999229 (sec), leaf count = 82

$$\text{Solve}[6\sqrt{3}{\tan }^{-1}\left(\frac{3y(x)+1}{\sqrt{3}(-y(x)+2x-1)}\right)=3\log \left(\frac{3x^2+3y(x{)}^2-3(x-1)y(x)-3x+1}{(1-3x{)}^2}\right)+6\log (3x-1)+2c_1,y(x)]$$ ✓ Maple : cpu = 0.151 (sec), leaf count = 51

$$\{y\left(x\right)=\frac{(-3x+1)\sqrt{3}}{6}\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\sqrt{3}\ln \left(\frac{(3{(\tan \left(\mathit{\_}\mathit{Z}\right))}^2+3){(3x-1)}^2}{4}\right)+2\sqrt{3}\mathit{\_}\mathit{C}\mathit{1}+6\mathit{\_}\mathit{Z})\right)+\frac{x}{2}-\frac{1}{2}\}$$