Question

(1 point) Math 216 Homework webHW9, Problem 9 Solve the initial value problem ?″+8?′+16?=?(?−3)−?(?−6),?(0)=2,x’(0)=2

Answer 1

we are given differential equation as

?″+8?′+16?=?(?−3)−?(?−6),?(0)=2,x’(0)=2

we can take Laplace transform both sides

now, we can plug values

we can solve for X(s)

now, we can take inverse laplace transform

and we get

...........Answer