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I have a question about RC circuit. Given this circuit

---R2---

---- R1---C1--| |----

----C2--

which is a resistor followed by a capacitor followed by a resistor in parallel with a capacitor.

I have trouble finding the derivative equation for the charging/decharging voltage and the corresponding current for the whole circuit. My goal is to have a derivative equation i can solve for each time step with a software I will create (this is not homework).

I am a programmer and I forgot my basics on electric circuits.

Help is very much appreciated

A.