1. For a cylindrical coordinate, write the partial differential equation for the followings:

a. the Heat Equation

b. the Steady State Equation,

c. the Wave Equation.

2. Determine solution of the following partial differential equation

8²U/ax² = a² du/dt = 0

subjected to:

U (x,0) = 0

U (o, t) = 50

U (1,t) = 50