Solution Found!
In 21–24, determine , where is periodic with the given
Chapter 7, Problem 22E(choose chapter or problem)
In Problems 21–24, determine \(\mathscr{L}\{f\}\), where \(f(t)\) is periodic with the given period. Also graph \(f(t)\).
\(f(t)=e^{t}, 0<t<1\), and \(f(t)\) has period 1.
Equation transcription:
Text transcription:
{L}\{f\}
f(t)
f(t)=e^{t}, 0<t<1
Questions & Answers
QUESTION:
In Problems 21–24, determine \(\mathscr{L}\{f\}\), where \(f(t)\) is periodic with the given period. Also graph \(f(t)\).
\(f(t)=e^{t}, 0<t<1\), and \(f(t)\) has period 1.
Equation transcription:
Text transcription:
{L}\{f\}
f(t)
f(t)=e^{t}, 0<t<1
ANSWER:
Solution . our aim is to find the laplace transform of the given function by using the definition of transform of periodic function.
Step 1. To solve this problem we need following references
Reference 1. .using the definition of laplace transforms
................ (1)
Reference 2. If f(t ) has a period T and a piecewise continuous on [0 ,T] then the laplace transform
are related by
