Question 3: a) Find Y(s)/ X(s) for the following differential equation d'ydy dy d?x dx +2+9x, where the initial conditions are zero. dt +3- +6- +5y dt dt? dt dt?
Question 3: a) Find Y(s)/ X(s) for the following differential equation d'ydy dy d?x dx +2+9x, where the initial conditions are zero. dt +3- +6- +5y dt dt? dt dt?
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
![Question 3:
a) Find Y(s)/ X(s) for the following differential equation
d'yd?y
d?x
dy
+6-
+5y =
dt
dx
+3
dt
+2+9x, where the initial conditions are zero.
dt?
dt?
dt
b) Find Y(s)/U(s) for the following differential equation system
X, = X, +u
X, = x3 +u
X,=-x, -3x, -2x, +u
y=x,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe39a6cf-f084-4520-93dc-d7251e72083b%2F38a22ad5-be84-4c40-90b1-fe634ef43f5c%2Fmviutoo_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3:
a) Find Y(s)/ X(s) for the following differential equation
d'yd?y
d?x
dy
+6-
+5y =
dt
dx
+3
dt
+2+9x, where the initial conditions are zero.
dt?
dt?
dt
b) Find Y(s)/U(s) for the following differential equation system
X, = X, +u
X, = x3 +u
X,=-x, -3x, -2x, +u
y=x,
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