(a) Show that if v(x, y) is harmonic, so is u(x, y)= v(x2

Chapter 7, Problem 15

(choose chapter or problem)

(a) Show that if v(x, y) is harmonic, so is u(x, y)= v(x2 y2,2xy). (b) Show that the transformation (x, y)(x2 y2,2xy) maps the rst quadrant onto the half-plane {y > 0}.(Hint: Use either polar coordinates or complex variables.)

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