In the circuit telow the initial cersfition is $(0)=5$A$.$

a$.$ Determine the differential equation describing the circuit and deternine $,$g$($t$)$ : t$>=0$

b$.$ Determin the Thevenin equivalent resistance connected to the infortsor bo determine

v$($t$)$;t$>=0.$

In the circuit below determine the current i$\_($L$)($t$)$;t$>=0$

Express the following signal in terms of singularity functions:

$4$ In the circuit below find av$($t$)$;t$>=0,$ and, bv$\_($v$)($t$)$;t$>=0.$