RC circuit analysis: finding Vc(t) i. Now, considering the schematic on the right, solve the first order differential equation to describe the charging of a capacitor, Vc(t), from a voltage source, Vs(t), through a series resistor. HINT: You may solve it in any way you would like but, the following equations should lead you in the right direction, where your final equation should not have Q in it. () = () = () = () = () = () ∗ () = () + ii. Plot Vc(t) over an appropriate timescale. (c) How does the Vm(t) along a segment of an axon relate to VC(t), the charging of a capacitor in an RC circuit?