Hi, just working on some problems but I'm getting stuck.

1)In trying to express the Laplacian in parabolic cylindrical coordinates, I can't get u = a function of x and y or v = a function of x and y...so I'm stuck on how to keep on going. (Here the parabolic cylindrical coordinates are given as (u,v,z) and rectangular coordinates as (x,y,z)

Mr F says: Try reading

this and see how things go .....

2)Find a transformation of the form: u(x,t) = v(x,t)e^(qx-wt) where

q and w have to be determined, that would bring or transform the following equation for u(x,t): u_t-au_xx-bu_x-cu = 0 where a b and c are non zero constants to a diffusion partial differential equation.

Mr F edit in red.
Thanks!