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In solving linear circuit problems using complex currents, charges etc. I have stumbled upon something I never really understand. You are basically solving 1st and 2nd order differential equations by algebraic means, right? Well at what point do you apply initial conditions to your current and charge, Q(0), dQ/dt (0)?
I might have missed out on an essential points, because it actually seems that you never apply boundary conditions.
I might have missed out on an essential points, because it actually seems that you never apply boundary conditions.