1. The problem statement, all variables and given/known data The first circuit has a capacitor with capacitance c and an inductor with inductance L. In series with this is another capacitor which is connected to the next loop in the circuit. It look something like http://imgur.com/YJDaD.png" Sorry for the crude drawing. 2. Relevant equations The first part of the problem was to prove the equation could be written as dI2/dt2=w02(Ii-1-2Ii+Ii+1) So that is a relevant equation and I have managed to do that just fine with Kirchoff's laws. 3. The attempt at a solution The second part is to find the normal frequencies. Now I understand that this is very similar to a beaded string problem, or a discrete wave, however in the wave equation there is a Sin(k*xi) and I cannot for the life of me figure out what the equivalent equation is for a circuit. I know that the current will repeat both with the individual loops and each loop will repeat with time, but I cannot figure out how to represent the space part of the wave equation in a circuit setting. This will be necessary for me to solve the differential equation to get the normal modes... Help?