Let f1, f2, .. fn be n real-valued, differentiable functions.- Prove that e :[fif2 ... fn] = (fif2 …* fn) + (fif2 · fn) + ……·+ (fifz ·. fí). « You may cite basic calculus theorems without proving them.)
Let f1, f2, .. fn be n real-valued, differentiable functions.- Prove that e :[fif2 ... fn] = (fif2 …* fn) + (fif2 · fn) + ……·+ (fifz ·. fí). « You may cite basic calculus theorems without proving them.)
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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![Let f1, f2, . fn be n real-valued, differentiable functions.-
...
Prove that
e
d
fifz .. fn] = (if …* fn) + (fifz… fn) + ……· + (fifz…*fi). -
fn] = (fif2. fn) + (fif2 …· fn) +
...+ (fif2 fn). -
dx
(You may cite basic calculus theorems without proving them.)<](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff93c792-abd7-4eff-ba98-8a1e3cbd1351%2F834bc329-581e-4b09-9250-170f8f12ffa4%2Fcr96dz_processed.png&w=3840&q=75)
Transcribed Image Text:Let f1, f2, . fn be n real-valued, differentiable functions.-
...
Prove that
e
d
fifz .. fn] = (if …* fn) + (fifz… fn) + ……· + (fifz…*fi). -
fn] = (fif2. fn) + (fif2 …· fn) +
...+ (fif2 fn). -
dx
(You may cite basic calculus theorems without proving them.)<
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