1. Given the differential equation below, find the solution using Laplace transformation. The parameters R, C, and V, are constants that are related to the resistance and the capacitance in an RC circuit which is charging and V, is the voltage applied to the circuit at t=0. Vc is the function you have to solve for and it corresponds to the voltage across the capacitor. Initially Vc(0) = 0. RCdVC+VC = V3 (a) Give an expression for Vc(s), where L{Vc(t)} = Vc(s), (b) Give an expression for Ve(t); the solution to the differential equation

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