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I have seen phasor analysis being used only for sinusoidal steady state analysis, while Laplace transform gives the transient solution since the initial conditions are built into it, and we solve the circuit with that. Laplace transform also allows us to incorporate impulse-type voltages and currents in the circuit, wherefrom it seems to me that Laplace transform is a more powerful tool. Can Laplace transform be used to do sinusoidal steady state analysis as well? I don't see why not, but need a confirmation.