(b) Use the method of complementary functions and particular solutions, to determine the general solution of: d'x dx 3 dt2 - 4x = 2 e-t dt dx When t = 0, x 0 and = -5. dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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(b)
Use the method of complementary functions and particular solutions, to
determine the general solution of:
d?x
dx
+
- 4x = 2 e-t
dt?
dt
dx
When t = 0, x = 0 and
= -5.
dt
(c)
Use the method of Laplace Transfoms to find the solution of:
d'y
dt2
dy
+ 2
= 2 sinh t
dt
Given that y, 1 and y, 0.
Transcribed Image Text:(b) Use the method of complementary functions and particular solutions, to determine the general solution of: d?x dx + - 4x = 2 e-t dt? dt dx When t = 0, x = 0 and = -5. dt (c) Use the method of Laplace Transfoms to find the solution of: d'y dt2 dy + 2 = 2 sinh t dt Given that y, 1 and y, 0.
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