Solve the following simultaneous linear differential Equations: dx dy Ans.: f X= C₁ Sint+C₂ Castle 2. + dt dt dx Y= (C₁3(₂) Sint-(36₁+ (₁) Cast de dt - 4x - y = et - + 3x + y = 0

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
Solve the following simultaneous linear differential Equations:
dx dy
dt dt
dx
Ans.:
t
X= C₁ Sint+C₂ Cost-e
Y= (c₁ 36₂) Sint-(3C₁+C) Cast
2
+ 4x - y = et
dt
-
+ 3x + y = 0
Transcribed Image Text:Solve the following simultaneous linear differential Equations: dx dy dt dt dx Ans.: t X= C₁ Sint+C₂ Cost-e Y= (c₁ 36₂) Sint-(3C₁+C) Cast 2 + 4x - y = et dt - + 3x + y = 0
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