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d?y taby = Fo cos ot, where wo, ware positive con- dt- stants, and Fo is an arbitrary constant. You will need to consider the cases w + wo and w = an separately.

d?y taby = Fo cos ot, where wo, ware positive con- dt- stants, and Fo is an arbitrary constant. You will need to consider the cases w + wo and w = an separately.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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d?y taby = Fo cos ot, where wo, ware positive con- dt- stants, and Fo is an arbitrary constant. You will need to consider the cases w + wo and w = an separately.
Transcribed Image Text:d?y taby = Fo cos ot, where wo, ware positive con- dt- stants, and Fo is an arbitrary constant. You will need to consider the cases w + wo and w = an separately.
Expert Solution
Step 1

Given differential equation,

d2ydt2+ω02y=F0cosωt      ...(1)

Step 2

Firstly evaluate complementary function:

Auxiliary equation of given differential equation is,

m2+ω02=0m2=-ω02m=±iω0

Since roots are imaginary, so complementary function is,

yc=c1cosω0t+c2sinω0t

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