I have the following problems to solve:
The temperature u(r) in the circular ring shown in the image is determined from the boundary-value problem
where u0 and u1 are constants. Show that Not sure where to start. I need to show and explain every step.
#2 is similar but is sphere with equation of
r(d^2u/dr^2) + 2(du/dr) = 0
u0 and u1 are constants
I know the answer is u(r) = ((u0-u1)/(b-a))*ab/r +(u1b-u0a)/(b-a)
not sure how to get here though.
Any help to start would be great.