What are Initial Conditions and How Do You Write Them for the 2D Wave Equation?

[RealKiller69]

Homework Statement

The statement of the problem is as follows: A square drum with side L=1 is at rest until two drops falls over it . The wave propagation veclocity is c=1m/s.The drops injects E=0.01J into the system at t_0=0 s. The boundry conditions are Neuman's.

The problem im having is with the initial form of the drums membrane. How should i write the initial conditions( visually the grid points where the drops impacts should elevate a little bit ( it can be thought of dirac delta ) and then the wave will propagate from both ends ) knowing the integral form of the energy???+
The problem asks for the form of the membrane after 2 seconds, this should be quite easy if I can write the initial conditions.

Relevant Equations

Wave equation

I am having problems writing the initials conditions.

 

[member 553083]

Initial conditions are the starting values of a system or process at a given time. They are typically used in mathematical models and equations to describe the behavior of a system or process over time. In order to write the initial conditions for a given system or process, you must first identify the relevant variables and parameters that need to be specified. Once these are identified, you can then assign specific values to each of them. If the variables and parameters change over time, you may need to specify a range of values for each variable or parameter.