1 Find the inverse Laplace transform of G(s) = e ³s(-5s ¹+s 2) - 2e 7s/(s² + π²). (a) Express the answer using the symbols of unit step functions. (b) Express the answer piecewisely. [38] (a) u(t− 3)(t− 8) +2u(t−7) cos(nt) (b) 0 t-8 t-8+2 cos(πt) t<3, 3 7.
1 Find the inverse Laplace transform of G(s) = e ³s(-5s ¹+s 2) - 2e 7s/(s² + π²). (a) Express the answer using the symbols of unit step functions. (b) Express the answer piecewisely. [38] (a) u(t− 3)(t− 8) +2u(t−7) cos(nt) (b) 0 t-8 t-8+2 cos(πt) t<3, 3 7.
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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![[38] Find the inverse Laplace transform of G(s) = e ³s(-5s ¹+s 2) - 2e 7 s/(s² + π²).
(a) Express the answer using the symbols of unit step functions.
(b) Express the answer piecewisely.
[38] (a) u(t-3)(t− 8) +2u(t−7) cos(nt)
(b)
0
t - 8
t - 8+2 cos(πt)
t< 3,
3<t<7,
t> 7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c89c353-252e-4eca-b673-064be33ffdb0%2F8c9e38f1-37a0-4121-9a5d-6e60ebd29111%2Ftj932lq_processed.png&w=3840&q=75)
Transcribed Image Text:[38] Find the inverse Laplace transform of G(s) = e ³s(-5s ¹+s 2) - 2e 7 s/(s² + π²).
(a) Express the answer using the symbols of unit step functions.
(b) Express the answer piecewisely.
[38] (a) u(t-3)(t− 8) +2u(t−7) cos(nt)
(b)
0
t - 8
t - 8+2 cos(πt)
t< 3,
3<t<7,
t> 7.
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