System: x'=x-y, y' = 4x+y, = 2e¹ sin 2t.
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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Transcribed Image Text:19. System: x' = x − y, y' = 4x + y, solution is x = et cos 2t - -et sin 2t, y = et cos 2t +
2
2et sin 2t.
Transcribed Image Text:In the next four problems, show that the given functions form a solution of the system. De-
termine the largest interval of the independent variable over which the solution is defined,
and satisfies the equations.
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