3.161   ODE No. 161

$$\boxed{{\displaystyle (x^2-5x+6)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+3xy\left(x\right)-8y\left(x\right)+x^2=0}}$$

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

Mathematica: cpu = 0.013002 (sec), leaf count = 53 $$\left\{\{y(x)\to \frac{c_1}{(2-x{)}^2(3-x)}+\frac{\frac{x^4}{4}-\frac{2x^3}{3}}{(2-x{)}^2(3-x)}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 27 $$\{y\left(x\right)=\frac{1}{{(x-2)}^2(x-3)}(-\frac{x^4}{4}+\frac{2x^3}{3}+\mathit{\_}\mathit{C}\mathit{1})\}$$