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Consider the generating function for the sequence of natural numbers: G(x) = x + 2x^2 + 3x^3 + 4x^4 +.... Find the generating function  G'(x) .

Consider the generating function for the sequence of natural numbers: G(x) = x + 2x^2 + 3x^3 + 4x^4 +.... Find the generating function  G'(x) .

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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Consider the generating function for the sequence of natural numbers:

G(x) = x + 2x^2 + 3x^3 + 4x^4 +....

Find the generating function  G'(x) .

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