Question

Solve the following diffusion problem.
Ut=4Uxx
U(0,t)=0
U(3,t)=0
U(x,0)=sin(2pix/3)-2sin(pix)+7sin(5pix/3)

Answer 1

\[u _{t}=4u _{xx}\]

Answer 2

\[u(0,t)=0 , u(3,t)=0\]

Answer 3

\[u(x,0)=\sin(\frac{ 2 \pi x }{ 3 })-2\sin(\pi x)+7\sin(\frac{ 5 \pi x }{ 3 })\]