Find
U(\xi ,\tau )
given the non-dimensional diffusion equation
(del^(2)U)/(del\xi ^(2))=(delU)/(del\tau ),0<=\xi <=1,\tau >=0
with boundary conditions
U(0,\tau )=0
and
U(1,\tau )=0
, and initial condition
U(\xi ,0)=4(\xi -\xi ^(2))
.