What equation are you solving?
Hi,
I've done this question but I'm unsure if I used the boundary conditions right. The question is:
Find u(x,t) given u_xx=0 0<x<1, t>0 with boundary conditions u(0,t) = sin(t), u(1,t) = 0.5 t>0
To solve this question I found u = cx + f(t) where f(t) is any differentiable equation of t by integrating twice. I then used the boundary conditions to find c in terms of t. Is this correct?
Thank you!
Yea, thats pretty much what I found, I ended up with a constant in terms of t, which is why I was unsure if I was using the boundary conditions correct. (First time solving this type of equation and I don't have any examples to follow from) But thank you anyways!