Solve the given system of differential equations by systematic elimination. Dx + D²y = e²t (D+1)x+ (D - 1)y = 3e2t (x(t), y(t)) = (C₁+C₂sin(t) + Cacos (t)-², C₁-C₂cos (1) + Casin(t) + ²) 1 2t 1 2t 26 26
Solve the given system of differential equations by systematic elimination. Dx + D²y = e²t (D+1)x+ (D - 1)y = 3e2t (x(t), y(t)) = (C₁+C₂sin(t) + Cacos (t)-², C₁-C₂cos (1) + Casin(t) + ²) 1 2t 1 2t 26 26
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.
Dx +
D²y = e²t
(D+1)x+ (D-1)y = 3e²t
(x(t), y(t)) =
C₁+C₂sin(t) + Cocos (t)- ², C₁-C₂cos (t) + Casin(t) +
1 2t
26,
1 2t
26€
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