Dynamic Equations of a Circuit?

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wilsondd
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Hello,

As part of a larger problem, I'm trying to understand the dynamic equations of the attached circuit with two capacitors and one resistor and a voltage source. When I use Kirchoff's Current Law at nodes V0 and V1, I get the following equations.

0 = (dVs/dt-dV1/dt)*C1 - (V1-V2)/R - (dV1/dt-dV2/dt)*C2
0 = (dV1/dt-dV2/dt)*C2 + (V1-V2)/R

I have a feeling that this approach is wrong though, since I can't solve the equation when C1 = C2. I would be very appreciative if someone could tell me where I'm going wrong.
 
Attachments
  • Circuit schematic: voltage source Vs in series with capacitor C1 feeding node V0, then resistor R to output node V1, with capacitor C2 connected from V0 to V1, and the source return line joined to the bottom terminal.
    model circuit.png
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