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Homework Statement
Find an expression for Vo, the voltage across the resistor. Hint: find V1 and V2 first.
Homework Equations
i_c = C(dV/dt)
V_c = 1/C integral( i dt )
The Attempt at a Solution
I think at t = 0, the voltage source turns on so
@ t < 0 :
V1(0) = 0 V2(0) = 0
@ t > 0 :
V1(0+) = V1(0) = 0 V2(0+) = V2(0) = 0
V1(final) = 5 V2(final) = 5
Next, I guess I'm supposed to write nodal equations:
I have:
5/1 = 0.5 (dV1/dt) + 0.333 (dV2/dt)
(V1  V2)/1 = 0.333 (dV2/dt)
V0 = V1  V2
I'm not sure how to proceed from here. The book examples say I need to get a characteristic equation somehow, but those have inductors in them. Would appreciate any help. btw, the answer is supposed to be Vo = 2(e^t  e^6t)
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