2.214   ODE No. 214

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

$$(y(x)+x-1)y^{\prime }(x)-y(x)+2x+3=0$$ ✓ Mathematica : cpu = 0.105227 (sec), leaf count = 78

$$\text{Solve}[2\sqrt{2}{\tan }^{-1}\left(\frac{-y(x)+2x+3}{\sqrt{2}(y(x)+x-1)}\right)=2\log \left(\frac{6x^2+3y(x{)}^2-10y(x)+8x+11}{(3x+2{)}^2}\right)+4\log (3x+2)+3c_1,y(x)]$$ ✓ Maple : cpu = 0.135 (sec), leaf count = 48

$$\{y\left(x\right)=\frac{5}{3}+\frac{(-3x-2)\sqrt{2}\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\sqrt{2}\ln \left(2({(\tan \left(\mathit{\_}\mathit{Z}\right))}^2+1){(3x+2)}^2\right)+2\sqrt{2}\mathit{\_}\mathit{C}\mathit{1}-2\mathit{\_}\mathit{Z})\right)}{3}\}$$