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y" + 3y' + 2y = r(t), (a) r(t) = u(t-1)-u(t-2) (b) r(t) = 8(t-1) y (0) = y'(0) = 0

y" + 3y' + 2y = r(t), (a) r(t) = u(t-1)-u(t-2) (b) r(t) = 8(t-1) y (0) = y'(0) = 0

Advanced Engineering Mathematics
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
Using the Laplace transform, solve the following problems. (Show the details). y" + 3y' + 2y = r(t), y (0) = y'(0) = 0 (a) r(t) = u(t-1)-u(t - 2) (b) r(t) = 8(t-1) when u(t): unit step function & 8(t): delta function
Transcribed Image Text:Using the Laplace transform, solve the following problems. (Show the details). y" + 3y' + 2y = r(t), y (0) = y'(0) = 0 (a) r(t) = u(t-1)-u(t - 2) (b) r(t) = 8(t-1) when u(t): unit step function & 8(t): delta function
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