8. Given f(x+ y) = f(x) + f(y) + 2xy for all a, y E R and f'(0) = 0. Find f(0), f'(r), and f(x).
8. Given f(x+ y) = f(x) + f(y) + 2xy for all a, y E R and f'(0) = 0. Find f(0), f'(r), and f(x).
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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Transcribed Image Text:8. Given f(x + y) = f(x) + f(y) + 2xy for all x, y € R and f'(0) = 0. Find f(0), f'(x), and f(x).
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