_13. The Laplace Transform of the convolution of t³e2t » sin 5t is 30 В. 15 C. (s-2)*(s+25) 30 D. (s-2)(s2-25) 30 A. (s-2)*(s2-25) (s-2)*(s+5) _14. Solve the differential equation y" + 2y' + 17y = 0, y(0) = 0 and y'(0) = 12. A. y(t) = 3eʻ sinh 4t B. y(t) = 3e¬t sin 4t 15 Given the transfer function pair C. y(t) = 4e¬t sin 3t D. y(t) = 3e cos 4t 2t K(e) Determine the time signgl v(t) cf the given signal
_13. The Laplace Transform of the convolution of t³e2t » sin 5t is 30 В. 15 C. (s-2)*(s+25) 30 D. (s-2)(s2-25) 30 A. (s-2)*(s2-25) (s-2)*(s+5) _14. Solve the differential equation y" + 2y' + 17y = 0, y(0) = 0 and y'(0) = 12. A. y(t) = 3eʻ sinh 4t B. y(t) = 3e¬t sin 4t 15 Given the transfer function pair C. y(t) = 4e¬t sin 3t D. y(t) = 3e cos 4t 2t K(e) Determine the time signgl v(t) cf the given signal
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
please solve number 13 and 14 only
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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