|3z +48z = 5 cos(4t) |3z +53z5 cos(4t) |3z +25x' +48z = 5 cos(4t) ✓3r |3x +22r' +48z = 5 cos(4t) |3z + 3x = 5 cos(4t)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Match each ODE with the graph of its solution.
Remember the transient solution of underdamping has oscillations and overdamped transient response has
no oscillation.
3x
31
✓3z
✓3r
3z
17
+ 48z = 5 cos(4t)
+53x = 5 cos(4t)
+25z' + 48z = 5 cos(4t)
+ 22x' + 48x = 5 cos(4t)
-
+ 3x = 5 cos(4t)
a.
b.
C.
d.
e.
AMMA
2%
+2
Transcribed Image Text:Match each ODE with the graph of its solution. Remember the transient solution of underdamping has oscillations and overdamped transient response has no oscillation. 3x 31 ✓3z ✓3r 3z 17 + 48z = 5 cos(4t) +53x = 5 cos(4t) +25z' + 48z = 5 cos(4t) + 22x' + 48x = 5 cos(4t) - + 3x = 5 cos(4t) a. b. C. d. e. AMMA 2% +2
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