Question # $1$: I need help plz solve it with detalis $($show me the steps$)$ Electric circuit

Consider the circuit given in Fig$\mathrm{.}2.$

The circuit parameters are:

$V_s=4V$;

$I_s=2mA$;

$R_1=2kW$;

$R_2=8kW$;

$L=10mH$;

a$.$ How does the inductor behave when connected to a dc circuit? Justify your response based on mathematical equations.

b$.$ Determine the time constant $t$ and the expression for the current $i_L(t)$ for $t0$ assuming $i_L(0)=0.$

c$.$ Determine voltage $V_L(t)$