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
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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,
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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