Question 3: a) Find Y(s)/X(s) for the following differential equation d'y d'y +3• dt3 dt? d?x dy +6-+5y = dt dx +2-+9x, where the initial conditions are zero. dt dt?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3:
a) Find Y(s)/X(s) for the following differential equation
d'y
d'y
+3•
dt3
dt?
d?x
dy
+6–+5y=
dt
dx
+2 +9x, where the initial conditions are zero.
dt
dt?
b) Find Y(s)/U(s) for the following differential equation system
X1 = x, +u
X, = X,
+u
X3 =-X, - 3x, - 2x3+l
y = x,
Transcribed Image Text:Question 3: a) Find Y(s)/X(s) for the following differential equation d'y d'y +3• dt3 dt? d?x dy +6–+5y= dt dx +2 +9x, where the initial conditions are zero. dt dt? b) Find Y(s)/U(s) for the following differential equation system X1 = x, +u X, = X, +u X3 =-X, - 3x, - 2x3+l y = x,
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