(7. Given that y3 By further differentiation of this result, or otherwise, find Maclaurin's series for y up to and including the term x2. = e* cos x, show that 3y2- y3 = -e* sin x dx 3 cosx Hence write down Maclaurin's series for including the term in x2. ex

(7. Given that y3 By further differentiation of this result, or otherwise, find Maclaurin's series for y up to and including the term x2. = e* cos x, show that 3y2- y3 = -e* sin x dx 3 cosx Hence write down Maclaurin's series for including the term in x2. ex

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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Question

(7. Given that y3
By further differentiation of this result, or otherwise, find Maclaurin's series for y up to and
including the term x2.
= e* cos x, show that 3y2-y3 -e* sin x
dy
dx
Hence write down Maclaurin's series for
3 cosx
including the term in x2.
ex
Answers
1
1. -2x2-2x + .…,
2. k = -e 7.1+-...

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