The initial temperature in a rod of unit length isf(x) throughout. There is heat

Chapter 13, Problem 8

(choose chapter or problem)

The initial temperature in a rod of unit length isf(x) throughout. There is heat transfer from both ends, x = 0 and x = 1, into a surrounding medium kept at a constant temperature zero. Show that 00 u(x, t) = LAne-W.1(ancosanx + hsinanx), n=I where The eigenvalues are An = a, n = 1, 2, 3, ... , where the an are the consecutive positive roots of tan a = 2ah/( a2 - h2).

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

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