5.4 Problems in Polar Coordinates

5.4 Problems in Polar Coordinates

• The steady-state solution involves a potential equation.

• There is a correlation between the orthogonality relation and Eq.

• The one-dimensional wave and heat problems have a lot in common.
• Both the steady-state and time-independent solutions have the same problems.
• The heat and wave equations have been used to solve problems in a rectangular region.

• Common features will be seen again if we consider the vibrations of a circular plate.

• The solution of the two-dimensional eigen value problem will be the focus.

• Determine the separation of variables that lead to Eqs.