Previous Problem Problem List Next Problem (10 points) This problem is related to Problems 9.33-9.38 in the text. We have solved differential equations using the method of undetermined coefficients (...
Previous Problem Problem List Next Problem (10 points) This problem is related to Problems 9.33-9.38 in the text. We 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"10y' 106y 3cos (5t 0.785398)u(t) a. Since there is only one frequency involved for this problem, we can set wo 5. Write the transfer function for this system as a function of n. (See page 530 of the text.) H(n)3 help (formulas) 3(1/sqrt(9061))cos(5t-392699/500000 b. Find the particular solution, yp(t). No step function in this answer.
Previous Problem Problem List Next Problem (10 points) This problem is related to Problems 9.33-9.38 in the text. We 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"10y' 106y 3cos (5t 0.785398)u(t) a. Since there is only one frequency involved for this problem, we can set wo 5. Write the transfer function for this system as a function of n. (See page 530 of the text.) H(n)3 help (formulas) 3(1/sqrt(9061))cos(5t-392699/500000 b. Find the particular solution, yp(t). No step function in this answer.