dx dt dx dt 3x 500 + = 0.24, + 3x 500 x (0) = 30 = 0.12, x(10) = ??? 0 < t < 10 t > 10
dx dt dx dt 3x 500 + = 0.24, + 3x 500 x (0) = 30 = 0.12, x(10) = ??? 0 < t < 10 t > 10
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
Use the method of undetermined coefficients and the auxiliary method to arrive at the solution.
Transcribed Image Text:dx
dt
dx
dt
3x
500
+ = 0.24,
+
3x
500
x (0) = 30
= 0.12, x(10) = ???
0 < t < 10
t > 10
Transcribed Image Text:x(t)
=
40-10e-3t/500
2010e-3t/500
+20e-3(t-10)/500
t < 10
t > 10
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