Given that y, (0)=0, y₂ (0)=a+1, solve the system of differential equations: dy₁ = y₁ + 2y₂ +6e", y = 2y₁ + y₂ +2e". dt dt
Given that y, (0)=0, y₂ (0)=a+1, solve the system of differential equations: dy₁ = y₁ + 2y₂ +6e", y = 2y₁ + y₂ +2e". dt dt
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
a=5
Transcribed Image Text:(a) Given that y, (0) = 0, y₂ (0) = a +1, solve the system of differential equations:
dy,
dt
= ₁ + 2y₂ +6e³, dy₂
dt
²= 2y₁ + y₂ +2e¹.
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