Consider the RL circuit shown in Fig. $2$A$.$

Figure $2$A: The RL circuit with a square wave input. Note that the $18$ resistor is the internal resistance of the coil. Do not include it when assembling the circuit in lab. Set the resistor initially to $43$ ohms in series with an $18$ ohm resistor and the inductor to $10$uH$.$ Analyze the circuit in time domain and find the governing equation. Your analysis should be for one complete cycle of square wave$($pulse$)$ with a frequency of $500$Hz and amplitude going from $0$V to $5$V for $1$ms and is then $0$ for another $1$ms$.$ Show your mesh or node equations and how you arrive at your governing equation. SHOW ALL MATHEMATICAL STEPS