a'(t) = -x(t – 1), x(t) = 1 on [-1,0], is given by 1(t) = E(-1)* t – (k – 1))* k! for n-1
a'(t) = -x(t – 1), x(t) = 1 on [-1,0], is given by 1(t) = E(-1)* t – (k – 1))* k! for n-1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
USE Laplace transform to solve this problem.
![a' (t) = -x(t – 1),
a(t) = 1 on [-1,0],
is given by
2(t) = E(-1)* E – (k – 1))*
for n-1<tsn,
k!
k=0
where n is a nonnegative integer.
USE Laplace transform to solve this problem](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88468cf5-88c6-4522-a401-55e693b2d700%2Fbde0ba12-13b9-42f4-a9bd-7570eeba4844%2Febd2gz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a' (t) = -x(t – 1),
a(t) = 1 on [-1,0],
is given by
2(t) = E(-1)* E – (k – 1))*
for n-1<tsn,
k!
k=0
where n is a nonnegative integer.
USE Laplace transform to solve this problem
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