In the following circuit I have to find the current through the inductor:

for t < 0 we have:

So IR1 = 10A, IR2 = 20A. Current through the inductor is 20A and the voltage across capacitor is 80V.

for t = ∞ we have:

So IR1 = 5A, IR2 = 10A. Current through the inductor is 10A and the voltage across capacitor is 40V.

for t = 0+ we have the initial circuit, the current though inductor is 20A and the voltage across the capacitor is 80V.

So we have a soluzione like this one:

now, the circuit is neither RLC parallel or series, right? Can I lead it back to a know simpler case? Am I doing something wrong?

I found examples with combination of series and parallels, but they use phasors and, in this case, I don't have a AC source (so I cannot compute impedance).

I found examples of RC or RL circuits solved used Thevenin, again, if I use the inductor as a load I have the parallel of a capacitor and a resistor, so no way.

How can I proceed?

Thanks, I'm desperate