V₁L+) in we - S domain? - transfer function? RF M _ovo Vo(t)

Problem 5. Find the transfer function Tv(s) = V₂(s)/V₁(s) of the circuit in Figure 5. (a) Find the de gain, infinite frequency gain, and cutoff frequency. Identify the type of gain response. (b) Sketch the straight-line approximation of the gain response. (c) Calculate the gain at w = 0.25wc, 0.5wc, and wc. (d) Use MATLAB to plot the Bode magnitude gain response of the circuit. Validate your answers for part (c). Help on part D + 470 Ω ww v₁(t) 50 mH 470 Ω Figure 5: + v₂(t)

thanks :)

First, I'm trying to use the MATLAB or SciPy function ellipap to find the poles, zeros, and gain for a third-order normalized elliptic lowpass filter with 2 dB ripple in the passband and stopband ripple that has an upper limit of -50 dB. I think I got this part right.  Then using one of the programs I need to find the coefficients of the numerator and denominator of the transfer function. Then I need to plot the frequency response.  I understand how to use the program for the first part, but I'm unsure how to find the second part. Could you share with me how to approach this?  Thank you for your time and help