3.216   ODE No. 216

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

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

Mathematica: cpu = 0.101513 (sec), leaf count = 82 $$\text{Solve}[6\sqrt{3}{\tan }^{-1}\left(\frac{3y(x)+1}{\sqrt{3}(-y(x)+2x-1)}\right)=2c_1+3\log \left(\frac{3x^2+3y(x{)}^2-3(x-1)y(x)-3x+1}{(1-3x{)}^2}\right)+6\log (3x-1),y(x)]$$

Maple: cpu = 0.125 (sec), leaf count = 68 $$\{y\left(x\right)=-\frac{1}{2}+\frac{x}{2}-\frac{\sqrt{3}(3x-1)}{6}\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\sqrt{3}\ln (\frac{27x^2}{4}-\frac{9x}{2}+\frac{3}{4}+\frac{27{(\tan \left(\mathit{\_}\mathit{Z}\right))}^2{x}^2}{4}-\frac{9{(\tan \left(\mathit{\_}\mathit{Z}\right))}^{2}x}{2}+\frac{3{(\tan \left(\mathit{\_}\mathit{Z}\right))}^2}{4})+2\sqrt{3}\mathit{\_}\mathit{C}\mathit{1}+6\mathit{\_}\mathit{Z})\right)\}$$