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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
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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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
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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