A voltage source e(t) $50 \sin 100$ is connected to a resistor R of 3 ohms in series with an inductor L of $0.04$ henries at time $t$ (in seconds) = 0. The expression for the current in the circuit for $1=0$ is of the form.
$i(t) = Ae^{kt} + B sing (100t - \emptyset)$
Find the values of $A, K, B$ and $\emptyset$.