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 = 0.108876 (sec), leaf count = 78

$$\text{Solve}[2\sqrt{2}{\tan }^{-1}\left(\frac{-y(x)+2x+3}{\sqrt{2}(y(x)+x-1)}\right)=3c_1+2\log \left(\frac{6x^2+3y(x{)}^2-10y(x)+8x+11}{(3x+2{)}^2}\right)+4\log (3x+2),y(x)]$$

✓ Maple : cpu = 0.146 (sec), leaf count = 65

$$\{y\left(x\right)=\frac{5}{3}-\frac{\tan \left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\sqrt{2}\ln (18{(\tan \left(\mathit{\_}\mathit{Z}\right))}^2{x}^2+24{(\tan \left(\mathit{\_}\mathit{Z}\right))}^{2}x+8{(\tan \left(\mathit{\_}\mathit{Z}\right))}^2+18x^2+24x+8)+2\sqrt{2}\mathit{\_}\mathit{C}\mathit{1}-2\mathit{\_}\mathit{Z})\right)(3x+2)\sqrt{2}}{3}\}$$