When a capacitor of capacity C is being charged through a resistance R by a battery which supplies a constant voltage E, the instantaneous charge Q on the capacitor satisfies the differential equation R dQ/dt + Q/C = E Find Q as a function of time if the capacitor is initially uncharged, i.e., if Q(0) = 0. How long will it take %3D be before the charge on the capacitor is one-half its final value?

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A: topic - differential equation

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