Hi all, I am stuggling with this question ... so far i have only tried part (a), but since i can't see how to do that so far... :( ok so what to do... do we first look at an 'associated problem' ? ... something like lol, this stuff is all quite confusing -Sarah
hmm ok i tryed some more and i come up with this answer: however i don't know how to simplify it from here, i have looked up integral tables and still no luck. any suggestions guys? lol assuming the answer is right in the first place! :P cheers -sarah
i think you can solve these by separation of variables that is assume u(x,t) is a product of two functions - one which depends on x, and one which depends on t maybe something like this u(x,t) = F(x) G(t) and solve from there your text should give a description of doing such a problem...
ok, that sounds like a good idea.... but how do i go about doing that ? a hint please ;) also, what do you think of my answer for part (a)?
hmm ok let me see.. what about if we let w(x,t) = exp(-x) then u(x,t) = w(x,t) + v(x,t) then v(x,t) satifies: so then we have to solve that pde problem? :S