Prove by solving the equations using laplace transform

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For a RC circuit, we can use Laplace transforms to show that when we apply a step input of 5V, the voltage across the capacitor rises exponentially to a final value equal to step input. Now, suppose that an initial voltage of 1V is present at the capacitor at zero time (t = 0). Will the behavior of the circuit when a step input is applied still yield an exponential rise or will the behavior be of some other type? Prove by solving the equations using Laplace transform for points. 

Reference no: EM13161699

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