Problem 2. Apply Laplace Transform, with respect to time t, to the following PDEs and the associated boundary conditions. Variable p denotes pressure and variables x, y, z denote space. (5+2+3=10 points total) ap(x,t) ap (x,t ) ax- p(x,1) _= 3500 p(x,t) =3500 ap (x,t) =-350 ax d'p(x,y,t) d'p(x,y,t) ap(x, y,t ) at (p(x, y,1) _= 3500 Z d'p(x,y,z,t) d'p(x,y,z,t ) d'p(x,y, z, 1) op (x, y, z, t ) C. ax- at P(x, V. z,1 )| = W (x,V. z) X