(a) Show that the current i(t) in an LRC-series circuit satisfies where E'(t) denotes the derivative of...

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(a) Show that the current i(t) in an LRC-series circuit satisfies

d?i di = E'(1), C L + R df dt


where E'(t) denotes the derivative of E(t).

(b) Two initial conditions i(0) and i'(0) can be specified for the DE in part (a). If i(0) = i0 and q(0) = q0, what is i'(0)?

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