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A resistor obeys Ohm's law (\$\small V=I\cdot R\$); the current through it is equal to the voltage across it divided by the resistance (equivalently \$I=\frac{V}{R}\$).
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Differential equation for trivial RL series circuit
I would like to obtain differential equation describing behaviour of this circuit. I'm really new to this and not quite sure how to begin. We can consider situation of knowing values of all parameters …