Hello I need help with solving this problem which deals with Electrical Circuit analysis. Please show all the correct st

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Hello
I need help with solving this problem which deals with Electrical Circuit analysis. Please show all the correct steps and the correct answers to each part of the question
Please follow all of the directions for each part of the question.
Also please provide the correct answer with the correct steps with each specific part of the question in complete detail.
Please provide pictures of circuits if required (very important). Please draw the circuit for this problem and make sure it's very detailed.
Please make sure that your work is correct and I promise that I will rate you.
3. In the circuit shown below a. Write a node equation at node 2. b. Write a node equation at node 1. c. Find the transfer function H(w) = Vo(w)/V₁(w). d. Sketch the magnitude response | H(o)| and find the value of | H(w)| at w = 0⁰. e. What type (LPF, HPF, BPF, BSF) of filter is this? (35 1F с www. 0.5 Ohm R1 R2 2 Ohm 1H