If is a constant, show that This result is known as the

Chapter 7, Problem 55E

(choose chapter or problem)

Get Unlimited 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)

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.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back