X |_ [² é

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

You are given the following system of differential equations: 

dx/dt = x + 2y - 6e-t, dy/dt = 4x + y - 8e-t 

has the complementary function: 

[x]       [√2]                                [√2]
[y] = a [-2]  exp ((1 - 2√2)t) + b  [2]  exp ((1 +

2√2)t) 

Select the option that gives the particular integral 

[3] = [²] €
2
X
X
y
[*] = [1] •
[*] = [2] e
e-t
Transcribed Image Text:[3] = [²] € 2 X X y [*] = [1] • [*] = [2] e e-t
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