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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Can we prove that the function (x-t)g(t) is continous given what we know from the problem definition?
![= S (x - t)g(t) dt.
Let g be continuous on [a, b], and let f(x)
Prove that f is a solution of the differential equation f" = g and
the initial conditions f(a) = f' (a) = 0.](https://content.bartleby.com/qna-images/question/bd1f10ad-6c07-45d3-868c-40133678a6db/9dbf3bd2-fd88-4558-929a-c3d41aa21ff0/akgp1ia_thumbnail.png)
Transcribed Image Text:= S (x - t)g(t) dt.
Let g be continuous on [a, b], and let f(x)
Prove that f is a solution of the differential equation f" = g and
the initial conditions f(a) = f' (a) = 0.
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