This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: , where [ ] [ ] + + = 1 2 1 ) sin( ) cos( ) sin( ) cos( 250 dx x x dx x x D n n n n n n n Question 5 a) The substitution leads to the same PDE for f(r,) and C=10. b) Eigenvalues are n = n , where n= 1,3,5, and the eigenfunctions are ) cos( n A n n = c) n n n n n r D r C-+ = d) = + = ... 5 , 3 , 1 ) cos( 10 ) , ( n n n n r c r T , where = 2 / 2 2 / ) ( cos ) cos( 90 d n d n R c n n e) The same substitution as in part (a) will lead to an eigenvalue problem for that is not a Sturm-Liouville type of problem. Thus, cannot solve the PDE with such BCs using SofV method....
View Full Document
- Spring '10