So you have the voltage versus current (or vice versa) expressions for each of the components?
These interact according to Kirchov's laws? Allowing you to combine them.
I guess there is a form of the solution that you can assume is a solution to the resulting differential equation(s) and you can solve for the constants.
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Where does that get you?
Maybe you can post an image of your working?
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A long time since I did this sort of thing, so forgive me if I go a little wrong, or jump in, someone who's done it recently.