Question: 2. Let u(x, y) = e* cos(y) for any (x,y) = R. Define B, ((0,)) to be the ball whose center is (0, 3)
2. Let u(x, y) = e* cos(y) for any (x,y) = R. Define B, ((0,)) to be the ball whose center is (0, 3) and whose radius is some positive number r. Denote aB, ((0,3)) to be the boundary of the ball Br((0,)). (a) Show that u is a harmonic function. (b) Compute [u(x,y) ds. a,((0,4))
Step by Step Solution
3.34 Rating (148 Votes )
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
