I need some help setting up the DE for this system. I have a voltage source pumping at [tex]V_0cos(wt)[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Connected to a capacitor, inductor and resistor all three in parrellel. I am guessing then, that the voltage drop among all the parts are equal.

[tex]

V_0 cos(wt) = \frac{Q}{C} = L \ddot{Q} = \dot{Q} R

[/tex]

Then, The total charge on all parts would be equal to the sum of charges, right?

[tex]

Q_{Total} = \\Q_C + Q_L +Q_R

[/tex]

But what is the Q total? I have these two equations, but I am having a hard time understanding how to combine them into one single DE that I can solve.

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# Driven RLC circiut in parallel

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