Solve the given system of differential equations by systematic elimination.
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:Solve the given system of differential equations by systematic elimination.
(D² - 1)x - y = 0
(D1)x+ Dy = 0
(x(t), y(t)) =
•( (c₁e²+ €¯ (39) (c₂con (√31) + cjuin (√31)) (e- (5) (c,cos (√3+) + C₂sin (√3+))) |× )
(c₂cos(√31) czsin(√3
=
te
(c₁cos(√3t)
t
X
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