pose m and n are const (-)+(+)x] + C m-n m+n [-cos(m-nx- -cos(m-n)x - cos(m + n)x] + C 1 m+n Ⓒsin(m-n)x+ sin(m + n)x] + C m+n D(-)-(m + n)x]+ C 1 cos m-n m+n

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Question
Suppose m and n are constants and mn. Evaluate
A
B
C
D
dx
[sin(mx) cos(nx) de
1
[m² cos (m-n) x + m + cos (m + n)x] + C
cos(m-n)x+
2 m-n
m+n
1
[
os(m-n)x - + cos(m+n)x] + C
n-m
m+n
1
1
sin(m-n)x+
sin(m + n)x]+C
2 m-n
m+n
1
1
cos(m-n)x - - - cos(m+n)x] + C
2 m-n
m+n
Transcribed Image Text:Suppose m and n are constants and mn. Evaluate A B C D dx [sin(mx) cos(nx) de 1 [m² cos (m-n) x + m + cos (m + n)x] + C cos(m-n)x+ 2 m-n m+n 1 [ os(m-n)x - + cos(m+n)x] + C n-m m+n 1 1 sin(m-n)x+ sin(m + n)x]+C 2 m-n m+n 1 1 cos(m-n)x - - - cos(m+n)x] + C 2 m-n m+n
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