1. f(x) = x² 9 2. f(0) = cos(30) g(x) = 4|x|² 3. f(t) = et cos(ut) 4. f(x) = e³x 9 9 9 g(0) = 12 cos³ (0) — 9 cos(0) g(t) = et sin(ut)‚μ‡0 g(x) = e³(x−3)
1. f(x) = x² 9 2. f(0) = cos(30) g(x) = 4|x|² 3. f(t) = et cos(ut) 4. f(x) = e³x 9 9 9 g(0) = 12 cos³ (0) — 9 cos(0) g(t) = et sin(ut)‚μ‡0 g(x) = e³(x−3)
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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Determine which of the following pairs of functions are linearly independent.
Transcribed Image Text:1. f(x) = x²
9
2. f(0) = cos(30)
g(x) = 4|x|²
3. f(t) = e¹t cos(ut)
4. f(x) = e³x
9
9
9
g(0) = 12 cos³ (0) — 9 cos(0)
g(t) = et sin(ut) ,μ ‡0
g(x) = e³(x-3)
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