b) Using Laplace transform, solve the system UTM UTM dr dt -y = 1, UTMUTM dt dy given that r(0) =-1 and y(0) = 0. UTUTM A TMU

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer part b
y" +y = 1- H(t – 37), y(0) = 0, y(0) = 1.
UTMUTM
a) By using the Laplace transform, solve the following differential equation
UTM UTM UTM
UTMUTM
6UTM UT
UTMUTM UTM
d.r
UTMUTM
given that r(0) = -1 and
y = 1,
dy
+r= e -1,
UTM UT
dt
UTMUTS
UTM UTM UTM
TMUTM UTV
Transcribed Image Text:y" +y = 1- H(t – 37), y(0) = 0, y(0) = 1. UTMUTM a) By using the Laplace transform, solve the following differential equation UTM UTM UTM UTMUTM 6UTM UT UTMUTM UTM d.r UTMUTM given that r(0) = -1 and y = 1, dy +r= e -1, UTM UT dt UTMUTS UTM UTM UTM TMUTM UTV
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