I have a question and I'm not really sure how to get the initial condition from the question. I've managed to determine $U(x,t)$ from $u(x,t) = U(x,t) + \psi(x)$ by modifying the boundary condition to = 0 but I still can't seem to determine the initial condition, which is why I am stuck after $U(x,t)$.
I don't need the exact question but a hint towards finding that initial condition.
Any help would be greatly appreciated!
I understand that the BC are $u(0,t) = 120$ and $u(20,t) = 30$ and the rest is just normal working but the initial condition is bugging me.
Thank you!