Problem 2 For the system defined by differential equation d²y, dy +3 dt2 d³y d²u du + 2y = + 2,+u dt + dt3 dt dt2 Find the Laplace transform when the initial condition of y is y(0) = 2. All other initial conditions are zero. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 2
For the system defined by differential equation
d³y
d2
d?u
+ 2
+ 2y =
dt2
dy
du
+ u
dt
+ 3
dt3
dt2
dt
Find the Laplace transform when the initial condition of y is y(0) = 2. All other initial conditions are zero.
Problem 3
Find the transfer function of the system in problem 2.
Transcribed Image Text:Problem 2 For the system defined by differential equation d³y d2 d?u + 2 + 2y = dt2 dy du + u dt + 3 dt3 dt2 dt Find the Laplace transform when the initial condition of y is y(0) = 2. All other initial conditions are zero. Problem 3 Find the transfer function of the system in problem 2.
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