Solution Found!
If is a constant, show that This result is known as the
Chapter 7, Problem 55E(choose chapter or problem)
QUESTION:
If \(\mathscr{L}\{f(t)\}=F(s)\) and a 0 is a constant, show that
\(\mathscr{L}\{f(a t)\}=\frac{1}{a} F\left(\frac{s}{a}\right)\).
This result is known as the change of scale theorem.
Text Transcription:
Lf(t)=F(s)
Lf(at)=frac1aFt(fracsa)
Questions & Answers
QUESTION:
If \(\mathscr{L}\{f(t)\}=F(s)\) and a 0 is a constant, show that
\(\mathscr{L}\{f(a t)\}=\frac{1}{a} F\left(\frac{s}{a}\right)\).
This result is known as the change of scale theorem.
Text Transcription:
Lf(t)=F(s)
Lf(at)=frac1aFt(fracsa)
ANSWER:Step 1 of 3
If is a constant, show that
This result is known as the change of scale theorem.