# Electric circuits and diff.eq

1. Feb 8, 2006

### itzela

Hi Guys... i'm trying to learn diff.eq on my own and i'm stuck on a problem and I don't even know where or how to begin:

the problem is: the pacemaker shown in the figure (first attatchment) is made up of an electric battery, a small capacitor, and the heart which functions like a resistence in the circuit. When the commuter S connects to P the capacitor charges, when S is connected to Q the capacitor discharges sending an electric shock to the heart. During this time the electric tension E applied to the heart is given by: (second attatchment).

The resistance and the capacitance are both constant...
what is:
E(t)= ? E(t1) = Eo

Would it be a first order linear equation?
Is it homogenous?
What would be the value of the initial voltage?

- i translated it directly from spanish so if further clarifying of the problem is needed please let me know.

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2. Feb 8, 2006

### itzela

any advice on how to start?