6a. By the convolution theorem,
6b. Similarly,
7. Take the Laplace transform of both sides, noting that the integral is the convolution of 
and 
.
where 
. Then 
, and
We have the partial fraction decomposition,
Then we can easily compute the inverse transform to solve for f(t) :
Answer:
sqrt3[sqrt3+2sqrt12]=sqrt3[sqrt3+4sqrt3] = sqrt3[5sqrt3= 3x5 =15
Answer:
v1 = 1
Step-by-step explanation:
Solve for v1:
3 v1 - 3 = 0
Add 3 to both sides:
3 v1 + (3 - 3) = 3
3 - 3 = 0:
3 v1 = 3
Divide both sides of 3 v1 = 3 by 3:
(3 v1)/3 = 3/3
3/3 = 1:
v1 = 3/3
3/3 = 1:
Answer: v1 = 1
