able functions f1 and f2: fi = 7 · fi – 5 · f2, f½= 10 · f1 – 1
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
Transcribed Image Text:Consider the following system of differential equations involving two differen-
tiable functions fi and f2:
fi = 7. fi – 5. f2, f = 10 · fi – 8 · f2.
1
1. Find the general solution for fi and f2.
2. Suppose furthermore that the following two equations are satisfied:
f2(0) = 1+ fi(0) 2. fi(0) = 1+ f¿(0).
Find fi and f2.
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