You are given the following system of differential equations: dx/dt = -2x - 6y, dy/dt = -6x + 7y It has the general solution (as pictured). What is the particular solution of this system that satisfies x = 3 and y = 4 when t = 0 The answers to choose from can be seen in image 2.
You are given the following system of differential equations: dx/dt = -2x - 6y, dy/dt = -6x + 7y It has the general solution (as pictured). What is the particular solution of this system that satisfies x = 3 and y = 4 when t = 0 The answers to choose from can be seen in image 2.
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 = -2x - 6y, dy/dt = -6x + 7y
It has the general solution (as pictured). What is the particular solution of this system that satisfies x = 3 and y = 4 when t = 0
The answers to choose from can be seen in image 2.
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α
-2
+ 8 [²₁].
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Transcribed Image Text:[*] = a[ ²2 ] 0
α
-2
+ 8 [²₁].
e
elot + B
2 -5t
![[*] - [₁] •
= [1] - " + [ ¹ ₂ ] ²
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e
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Transcribed Image Text:[*] - [₁] •
= [1] - " + [ ¹ ₂ ] ²
5t
e-5
elat
-2
2
2
-5t
[*] = [i] + [²] ¹
•
elat
e
[]=[]+[²] ¹M
e-5t
előt
X
[ 3 ] - [ 2² ] 2²04 +
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Y
4
2
2
e-5t
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elot
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