In question 6 part a, Are we supposed we have condition like U(l,t)=U(0,t)=0?

so, the only condition for a is Ut = K Uxx?

For 6b boundary conditions include u(l,t) or no? So that u(0,t)=u(l,t)=0 (Dirichlet) or u_x(0,t)=u_x(l,t)=0 (Newman).

$u(0,t)=u(l,t)=0$

Professor can we assume that u is 0 at positive and negative infinity? Thanks!

Question: is in (c) $u(x,t)=c$ is a solution for any constant $c$?

Quote from: Victor Ivrii on October 11, 2012, 04:41:10 AMQuestion: is in (c) $u(x,t)=c$ is a solution for any constant $c$?No. From Robin conditions we can see that $u(x,t)=c$ is a solution only when $c=0$.