How can the states of ideal diodes be determined in simple circuits with only DC sources and resistors without a trial and error approach?
I posted this question on Electronics SE and found out that there is none.
This is one of the situations which bugs me that something systematic is going on but I am not able to find it.For instance;
This in an incredibly simple circuit , the current has to circulate in certain directions and only one set of states for diodes satisfy the circulation of current. I frustrates me to solve this simple problem by guess and check.
It looks like solving $2x=5$ by trial and error!
So, what possible approaches can be used to analyze this type of circuits in a deterministic manner? Or at least how can I approach this particular problem in deterministic way?