23. Using mathematical induction, show that dn n [F (x) · g(x)] = D dk [f(x}] • n dn-k dxn k) dxk k=0 [(x) . dxn-k
23. Using mathematical induction, show that dn n [F (x) · g(x)] = D dk [f(x}] • n dn-k dxn k) dxk k=0 [(x) . dxn-k
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
Using MI
![23. Using mathematical induction, show that
n
dr
[{(x) • g(x)] = E(")
dk
[f(x)] ·
n
dn-k
[g(x)] .
dxr
dxn-k
k=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb6dd0c6-5527-4513-9258-707eb85d4bd1%2F1eb903d4-7305-4762-804f-11aad02c388c%2Fz4czjv_processed.png&w=3840&q=75)
Transcribed Image Text:23. Using mathematical induction, show that
n
dr
[{(x) • g(x)] = E(")
dk
[f(x)] ·
n
dn-k
[g(x)] .
dxr
dxn-k
k=0
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