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12. F(s) (s-4)2 A. 2 cosh 2t B. t cosh 2t C. te* D.t sinh 2t

12. F(s) (s-4)2 A. 2 cosh 2t B. t cosh 2t C. te* D.t sinh 2t

Advanced Engineering Mathematics
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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Question
12. F(s) =-4) 2s %3D A. 2 cosh 2t B. t cosh 2t C. tet D.t sinh 2t 13. The Laplace Transform of the convolution of t³e2t + sin 5t is 30 15 30 30 A. (s-2)*(s2–25) В. (s-2)*(s2+5) C. (s-2)*(s2+25) (s-2)3(s2-25) 14. Solve the differential equation y" + 2y' + 17y = 0, y(0) = 0 and y'(0) = 12. A. y(t) = 3e' sinh 4t B. y(t) = 3e* sin 4t C. y(t) = 4et sin 3t D. y(t) = 3e-t cos 4t _15. Given the transfer function pair cos 3t X(s). Determine the time signal y(t) of the given signal d Y(s) =X(s) A. t sin 3t B. t cos 3t C. 2t sin 3t – t cos 3t D.-t cos 3t
Transcribed Image Text:12. F(s) =-4) 2s %3D A. 2 cosh 2t B. t cosh 2t C. tet D.t sinh 2t 13. The Laplace Transform of the convolution of t³e2t + sin 5t is 30 15 30 30 A. (s-2)*(s2–25) В. (s-2)*(s2+5) C. (s-2)*(s2+25) (s-2)3(s2-25) 14. Solve the differential equation y" + 2y' + 17y = 0, y(0) = 0 and y'(0) = 12. A. y(t) = 3e' sinh 4t B. y(t) = 3e* sin 4t C. y(t) = 4et sin 3t D. y(t) = 3e-t cos 4t _15. Given the transfer function pair cos 3t X(s). Determine the time signal y(t) of the given signal d Y(s) =X(s) A. t sin 3t B. t cos 3t C. 2t sin 3t – t cos 3t D.-t cos 3t
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