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Let f e E(0, ox) and let a be a positive real number. Define the function fa as follows Sal) = {"; f(t – a), if t > a, if 0

Let f e E(0, ox) and let a be a positive real number. Define the function fa as follows Sal) = {"; f(t – a), if t > a, if 0

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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Let f e E(0, ox) and let a be a positive real number. Define the function fa as follows Sal) = {"; f(t – a), if t > a, if 0 <t < a. fa(t) 0, Show that L{fa(t)} = f(s +a).
Transcribed Image Text:Let f e E(0, ox) and let a be a positive real number. Define the function fa as follows Sal) = {"; f(t – a), if t > a, if 0 <t < a. fa(t) 0, Show that L{fa(t)} = f(s +a).
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