I would suggest using Simulink with Simscape blockset to create the RL circuit above, after creating the above circuit, you can follow the procedure from this MATLAB answer: https://in.mathworks.com/matlabcentral/answers/131093-transfer-function-of-a-simple-circuit-using-simulink#answer_138902
To read more about analysing RLC circuits using Simulink you can read the documentation provided here: Analyzing the Response of an RLC Circuit - MATLAB & Simulink - MathWorks India.
I am attaching the Simulink model for the above circuit, you can try out the procedure from the answer above on the model and extract the transfer function.
