Consider the following initial value problem:

$y^{\text{'}\text{'}}+6y^{\text{'}}+8y=(t-5)+u_{10}(t)$;$,y(0)=0,y^{\text{'}}(0)=\frac{1}{4}$

a$)$ Find the solution $y(t).$

$y(t)=$

$$

$$

$u_c(t)$

$+1$

where $c=$

$$ and $d=$