3.215   ODE No. 215

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

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

Mathematica: cpu = 0.119015 (sec), leaf count = 80 $$\text{Solve}[6\sqrt{3}{\tan }^{-1}\left(\frac{4-3y(x)}{\sqrt{3}(y(x)+2x-2)}\right)=2c_1+3\log \left(\frac{3x^2+3y(x{)}^2+3(x-3)y(x)-6x+7}{(1-3x{)}^2}\right)+6\log (3x-1),y(x)]$$

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