3. (a) Using Euler's formula, derive the identities 3 cos³(z) = cos(z)+cos (37), sin³ (x)=sin(x)-sin(32). (b) Use the result of part (a) to find a general solution of y" + 4y = cos(r).
3. (a) Using Euler's formula, derive the identities 3 cos³(z) = cos(z)+cos (37), sin³ (x)=sin(x)-sin(32). (b) Use the result of part (a) to find a general solution of y" + 4y = cos(r).
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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![3. (a) Using Euler's formula, derive the identities
3
cos³ (2) = cos(z) += cos(3x),
sin"
(z)=sin(x) -sin (3x).
(b) Use the result of part (a) to find a general solution of y" + 4y = cos(r).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F590efbb4-bfa3-48e4-b7a4-ba8d0f00ec23%2Ff8340ea9-0969-4a72-b49e-dd5687d64ec1%2F958wei_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. (a) Using Euler's formula, derive the identities
3
cos³ (2) = cos(z) += cos(3x),
sin"
(z)=sin(x) -sin (3x).
(b) Use the result of part (a) to find a general solution of y" + 4y = cos(r).
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