Step 1:

The resistance and the inductor are in series.

The voltage across each component is equal to the total circuit voltage.

Solve the differential equation for current i.

Solution for the above differential equation is .

Substitute and in .

Solution :

The current flowing through the circuit at any moment of time is .

Step 1:

Find the voltage across resistor .

Volatge across resistor is .

Substitute and in .

Solution :

Volatge across resistor is .

Step 1:

Find the voltage across inductor .

Volatge across inductor is .

Substitute and in .

Solution :

Volatge acrossv inductor is .