Question: y + 2 y + 2 y = 2( t 4) u 5 , y (0) = 0 , y (0) = 0 5. (a)

y

+ 2

y

+ 2

y

= 2(

t

4)

u

5

, y

(0) = 0

, y

(0) = 0

y + 2 y + 2 y = 2( t 4)

5. (a) (8 points) Find the solution to the following IVP: y" + 2y' + 2y = 2(t -4)25, y(0) = 0, y'(0) = 0 (b) (2 points) What is lim y(t)? Write DNE if the limit does not exist. Does the answer depend on initial value? t-too

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