Second order parallel RLC circuit.

$2.$ For the circuit in figure $2,$ consider that switch $1$ has been open for a long time and at t$=0$ it closes, at the same time $($t$=0)$ switch $2$ opens. Taking into account the above, it is required:

a$.$ Obtain the voltage in the capacitor and the current in the coil for times t$<mn>0</mn>$ when it is in a stable state.

b$.$ Obtain the voltage and current for times t$>0$ until it reaches the stable state $($permanent regime$).$ Also, obtain the initial voltage of the coil and the initial current of the capacitor just after the change.

c$.$ Obtain the voltage and current equations in the coil to then make graphs for each of these variables.