Let H(t) denote the Heaviside step function. Find (a) L[H(t – 1/2) cos t]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let H(t) denote the Heaviside step function. Find
(а) L[H(t — т/2) сos t]
if t < 2
if 2 <t< 4
if t > 4
(b) L[f(t)e²-²], where f(t)
1
(c) L-'le-2P(p+ 1)~3]
pe-p
(d) L-1[-
(р— 1)2 + 9-
Transcribed Image Text:Let H(t) denote the Heaviside step function. Find (а) L[H(t — т/2) сos t] if t < 2 if 2 <t< 4 if t > 4 (b) L[f(t)e²-²], where f(t) 1 (c) L-'le-2P(p+ 1)~3] pe-p (d) L-1[- (р— 1)2 + 9-
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