I've been staring at this problem for two days now and can't get the correct transfer function. I've modeled it in Simulink (Matlab) and find the magnitude of the transfer function to be ~ $$H(s) = \frac{s+20}{s+0.028}$$

I'm getting huge numbers when trying to solve it so I must be doing something wrong. I've applied KCL to solve for the currents going into the parallel combo. Can anyone offer guidance? My work is shown below.

![schematic](https://i.stack.imgur.com/hEMoX.png)

[simulate this circuit](/plugins/schematics?image=http%3a%2f%2fi.stack.imgur.com%2fhEMoX.png) – Schematic created using [CircuitLab](https://www.circuitlab.com/)

[![enter image description here](https://i.stack.imgur.com/HrwON.jpg)](https://i.stack.imgur.com/HrwON.jpg)