Homework:

$($a$)$ Find the function $f(t)$ such that $L[f(t)]=\frac{2}{4(s2{)}^2-36}$

$f(t)=$

$$

$($b$)$ Find the function $g(t)$ such that $L[g(t)]=\frac{2(s-2)}{3(s1{)}^2-12}.$

$g(t)=$

$q,$

Note: If you need the step function at $t=c,$ it should be entered as $u(t-c).$

$$