e have solved differential equations using the method of undetermined coefficients (Chapter 7) and Laplace transforms (Chapter 8). We can use Fourier series to find e particular solution of an arbitrary order differential equation - as long as the driving function is periodic and can be represented by a Fourier series. the problem description and answers, all numerical angles(phases) should be given in radian angles (not degrees). iven the differential equation y" +18y' +82y = 9cos(2t +1.5708) +5cos(4t-1.0472). a. Write the fundamental frequency that you will use for this system. Wo= help (numbers) b. Write the transfer function for this system as a function of n. (See page 530 of the text.) H(n) = help (formulas)
e have solved differential equations using the method of undetermined coefficients (Chapter 7) and Laplace transforms (Chapter 8). We can use Fourier series to find e particular solution of an arbitrary order differential equation - as long as the driving function is periodic and can be represented by a Fourier series. the problem description and answers, all numerical angles(phases) should be given in radian angles (not degrees). iven the differential equation y" +18y' +82y = 9cos(2t +1.5708) +5cos(4t-1.0472). a. Write the fundamental frequency that you will use for this system. Wo= help (numbers) b. Write the transfer function for this system as a function of n. (See page 530 of the text.) H(n) = help (formulas)
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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Transcribed Image Text:This problem is related to Problems 9.33 - 9.38 in the text.
Vve have solved differential equations using the method of undetermined coefficients (Chapter 7) and Laplace transforms (Chapter 8). We can use Fourier series to find
the particular solution of an arbitrary order differential equation - as long as the driving function is periodic and can be represented by a Fourier series.
In the problem description and answers, all numerical angles(phases) should be given in radian angles (not degrees).
Given the differential equation y" + 18y' +82y = 9cos(2t+1.5708) + 5cos(4t - 1.0472).
a. Write the fundamental frequency that you will use for this system.
Wo=
1
help (numbers)
b. Write the transfer function for this system as a function of n. (See page 530 of the text.)
H(n) =
help (formulas)
c. Find the particular solution, y(t). No step function in this answer.
Note the accuracy is 0.01% relative error. If the numbers of small, that means you need more decimal places to get the right answer.
Yp (t) =
help (formulas)
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