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Given that 0 < a < b, let f(t) = 1 if a

Given that 0 < a < b, let f(t) = 1 if a

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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Given that 0 < a < b, let f(t) = 1 if a <t < b, f(t) = o if either t < a or t2 b. First, sketch the graph of the function f, making clear its values at 1 = a and t = b. Then express f in terms of unit step functions to show that L{f(t)} = s¯'(e-as – e¬bs).
Transcribed Image Text:Given that 0 < a < b, let f(t) = 1 if a <t < b, f(t) = o if either t < a or t2 b. First, sketch the graph of the function f, making clear its values at 1 = a and t = b. Then express f in terms of unit step functions to show that L{f(t)} = s¯'(e-as – e¬bs).
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