Problem $2$:

Find the particular solution of the given differential equation using the Method of Variation of

Parameters

a$)2y^{\text{'}\text{'}}-3y^{\text{'}}+y=(t^2+1)e^t{y}^{\text{'}\text{'}}-4y^{\text{'}}+4y=t{e}^{2t}{y}^{\text{'}\text{'}}-3y^{\text{'}}+2y=t{e}^{3t}+1y^{\text{'}\text{'}}+y=sec(t),-\frac{}{2}$

$c$