ABSTRACT
The laws of physics are formulated as differential equations. Maxwell's Equations, written in differential form, are coupled partial differential equations for the electric and magnetic fields. In formulating the solutions to most problems, physicists end up with a differential equation that needs to be solved. The "physics" is in the formulation of the problem as a differential equation, and this follows from general physical principles. Solving the differential equation, however, can be difficult or even impossible unless one resorts to numerical approaches. The primary Mathematica command physicists will use for finding analytic solutions of differential equations is "DSolve". All that matters is that the equation physicist ask it to solve is, in fact, a partial differential equation for a function of two variables. The differential equation is solved in the standard way, and physicist turn the result into an expression called "height" after extracting the list element and using "Simplify" to get a cleaner expression.
