hmm ok i think i see now...
ok i get this answer for the solution to the sub-problem now
http://img85.imageshack.us/img85/9914/picture23hb4.png
does that look better? :)
isnt it because cosh(n pi) is never zero and sinh(n pi) is equal to 0 for n = 0 and so since we need the whole expression to be equal to 0 therefore k_1 needs to be 0?
ok, well what i did was try to solve
http://img154.imageshack.us/img154/5458/picture19sw2.png
which has general solution
http://img154.imageshack.us/img154/8532/picture20ix0.png
and applying the BC Y(1) = 0 gives
http://img138.imageshack.us/img138/101/picture21ap4.png...
HELP!: Laplace 2D equation on a square
Hi everyone,
I quite get the answer out for this question and i just feel like i have been beating my head into a wall for 4 hours! aghh...
http://img167.imageshack.us/img167/3579/picture12vv7.png
I get stuck when i try to solve the sub-problem...
Hello peoples,
I think this is a trick question... well sort of :P
http://img133.imageshack.us/img133/472/picture8ox1.png
for part (a) i get that the cosine Fourier Series for f(x) = cos(x) to be:
http://img138.imageshack.us/img138/6114/picture9sq2.png
i hope that is ok, but its...
http://img136.imageshack.us/img136/8739/picture6tt5.png
however i do have one question, are we allowed to substitute the integral inside the summation? (i am have never heard of any rules telling me whether this is or is not allowed...)
Hey all,
I am unsure how to do this problem... i find problems where i have to derive things quite difficult! :P
http://img143.imageshack.us/img143/744/picture2ao8.png
this is the Full Fourier series i think and so the Fourier coeffiecients would be given by...
i just differentiated u(x,y) with respect to x then respect to y and that gave me A(u)
but doesn't that seem to simple? i mean, there is no PDE stuff involved really... :S
hmmm i have no idea where to even start with this problem, i cannot find any examples that are similar or anything like that anywhere!
http://img147.imageshack.us/img147/2319/picture18ur9.png
anyone got an idea as to a good first step to take?
thanks
sarah :)
edit: i tryed something wild...