Let V1 be the voltage across C1 and V2 be the voltage across C2. I want to solve for V1 and V2 as a function of time.(adsbygoogle = window.adsbygoogle || []).push({});

My idea was to use dV1/dt=I1/C1 and dV2/dt=I2/C2. Then using circuit rules i can express I1 and I2 as functions of V1 and V2 and substitute them into the previous diff eqs. Finally i throw the differential equations into mathematica and solve. However, I'm having issues with using circuit rules.

I1 is the current in C1 branch and points to the left

I2 is the current in C2 branch and points to the right

IRL is the current in IRL branch and points to the right

This is what I've come up with so far:

V1 - V2 + I2 * R2 =0

V1 = IRL * RL

I1 = IRL + I2

Are these equations and method of finding V1 and V2 as a function of time right? Thanks

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# Setting up differential equations for voltage

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