- #1

eventhorizonof

## Homework Statement

boundary conditions:

u(x,0) = exp[-((x-14)^2)/4

## Homework Equations

u_t = u_xx

x [tex]\in[/tex] R

## The Attempt at a Solution

the problem says there is a way for this partial differential equation to be solved

__without__computing any integrals. i know the general solution for the whole line is:

u(x,t) = 1 / sqrt(4kt) [tex]\int[/tex] exp[-((x-y)^2)/4kt] * PHI(y) dy

where PHI(y) is the boundary conditions.

is there some kind of substitution or trick to be used here to not have to compute any integral?

Thanks.