Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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 

 

[*] = a[ ²2 ] 0
α
-2
+ 8 [²₁].
e
elot + B
2 -5t
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Transcribed Image Text:[*] = a[ ²2 ] 0 α -2 + 8 [²₁]. e elot + B 2 -5t
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