The equation for the voltage y across the capacitor of an RC circuit is where !(t) is

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The equation for the voltage y across the capacitor of an RC circuit is

 dy RC dt + y = v(t)


where !(t) is the applied voltage. Suppose that RC = 0.2 s and that the capacitor voltage is initially 2 V. Suppose also that the applied voltage is υ(t) = 10[2 – e–t sin(5πt)] V. Plot the voltage y(t) for 0 ≤ t ≤ 5 s.

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