Let f1, f2, f3, f4: R → R be functions satisfying the following three conditions: > |fi(x)| + |f2(x)| for all r >0
Let f1, f2, f3, f4: R → R be functions satisfying the following three conditions: > |fi(x)| + |f2(x)| for all r >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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Differntial Equations HW problem. Need work and solution, please.
Transcribed Image Text:Let f1, f2, f3, f4: R → R be functions satisfying the following three conditions:
fA(x)
> \fi(x)| + |f2(x)| for all r > 0
• W(fi, f2) = e5
• fi, f2, and f4 solve the DE y" + P(x)y" + Q(x)y' + R(x)y = 0, but f3 does not.
Prove that f1, f2, f3, and fa are linearly independent.
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