Solve the initial value problem, and graph the solution function x(t). x' + 4x + 4x = 1 + 8(t-4); x(0)=x'(0) = 0 Write the solution to the initial value problem. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) O A. X(t) = C. X(t) = if t< if ift if t< if t = if t> ≤t< B. X(t)= D. X(t)= if t# if t = if t < if t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the initial value problem, and graph the solution function x(t).
x'' + 4x' + 4x = 1+8(t−4); _x(0) = x'(0) = 0
Write the solution to the initial value problem. Select the correct choice below and fill in the answer boxes to complete
your choice.
(Type exact answers.)
O A. X(t) =
O c. x(t)=
ift<
if ≤t<
if t≥
if t<
if t =
if t>
OB. X(t)=
O D. X(t)=
if t#
if t =
if t<
if t≥
Transcribed Image Text:Solve the initial value problem, and graph the solution function x(t). x'' + 4x' + 4x = 1+8(t−4); _x(0) = x'(0) = 0 Write the solution to the initial value problem. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) O A. X(t) = O c. x(t)= ift< if ≤t< if t≥ if t< if t = if t> OB. X(t)= O D. X(t)= if t# if t = if t< if t≥
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