Hi,
I'm taking up a course in partial diff equations and i'm really lost here. I cant seem to find the solution for the problem that the professor discussed.
here it is:
phi(x) = sin(2*pi*x) + (1/3)*sin(4*pi*x) + (1/5)*sin(6*pi*x)
b.c.:
u(0,t) = 0
u(1,t) = 0
0<t<infinity
can anyone help?
I seem to have copied incomplete notes, i cant seem to find it anywhere. Anyways, this is another problem which i dont understand.
mu(t) = (alpha^2)(Uxx)
0<x<1
0<t<infinity
b.c.
u(0,t) = 0
u(1,t) = 0
i.c.
u(x,0) = x
while 0<x<1
P.S.: if the "mu" doesnt seem right to you, change it to just "u". i cant seem to understand my bad handwriting lol.
Also, I was reading partial differential equations by farlow, and it seemed ok to give a background but doesnt give detailed examples for noobs like me. Any reading suggestions?
thanks
I "think" i do. lol. I have some examples and they are pretty strightforward once i get the solutions. I'd try doing this on my own as i think it is manageable for me
anyway,
do u mind if i ask you for another solution? I try reading the flow of proofs online, but i cant do anything on my own, save for the simplest ones.
here it is:
u(t) = Uxx - U
0<x<1
0<t<infinity
b.c.
u(0,t) = 0
u(1,t) = 0
i.c.
u(x,0) = sin(pi*x) + 0.5*sin(3*pi**x)
when 0<x<1