常微分方程/精確解 3

${\begin{aligned}&{\text{Question 1:}}\\&{\text{Consider the following equation}}:\\&{\frac {dy}{dx}}+2y={{x}^{2}}{{e}^{-2x}}+5\\\end{aligned}}$

${\text{find the general solution of the above equation}}$

提示：使用以下公式： $y={\frac {\int {{{e}^{\int {P\left(x\right)dx}}}Q\left(x\right)dx}+C}{{e}^{\int {P\left(x\right)dx}}}}$