A Functional Equation Problem

Published: 15 August 2024
on channel: Dr Barker

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Given a function which satisfies f(xy) = xf(y) + yf(x) for all values of x and y, we find the value of f(72) given also that f(18) = 2, and f(108) = 36. We conclude with a systematic approach which can be used to to solve similar problems.

00:00 Generating new values
01:38 Making 72
04:21 More systematic approach

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