3.229   ODE No. 229

$$\boxed{{\displaystyle (12y\left(x\right)-5x-8)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-5y\left(x\right)+2x+3=0}}$$

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

Mathematica: cpu = 0.010501 (sec), leaf count = 121 $$\{\{y(x)\to \frac{1}{12}(5x+8)-\frac{i\sqrt{-12c_1-24(-\frac{x^2}{12}-\frac{x}{4})-\frac{1}{12}(5x+8{)}^2}}{2\sqrt{3}}\},\{y(x)\to \frac{1}{12}(5x+8)+\frac{i\sqrt{-12c_1-24(-\frac{x^2}{12}-\frac{x}{4})-\frac{1}{12}(5x+8{)}^2}}{2\sqrt{3}}\}\}$$

Maple: cpu = 0.125 (sec), leaf count = 33 $$\{y\left(x\right)=-1-\frac{1}{\mathit{\_}\mathit{C}\mathit{1}}(-\frac{(5x+20)\mathit{\_}\mathit{C}\mathit{1}}{12}+\frac{1}{12}\sqrt{{(x+4)}^2{\mathit{\_}\mathit{C}\mathit{1}}^2+24})\}$$