consider the initial value problem (3,0227 y+25y=20,+7 410)=9.41(0)=0 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
A) First find the unit step representation of the forcing function, I.e. the right side of the differential equation. The forcing function can be written as au(t-b)+cu(t-d) with constants a,b,c,d. Enter these numbers a= ?, b=?,c=?,d=?
B) Using laplace transform of y(t), I.e., Y=L{y(t)}, find the equation you get by taking the laplace transform of the differential equation and solve for
Y(s)=?

Transcribed Image Text:consider the initial value
Problem
y" +25y = {0, + >>
(3, 0≤t≤7
Y(0) = a, y '(0)=0
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