Finding the transfer function of this circuit

I’ve been working on finding the transfer function for this circuit and tried the following:

1. Used KCL at nodes Va and Vb, incorporating the resistors and capacitors, but got stuck with the middle 2C capacitor and R/2 resistor.
2. Assumed the amplifier is ideal but wasn’t sure how it affects the transfer function or if it’s just a buffer.
3. Tried Laplace transforms to write impedances for C and 2C, but combining them with the resistors became confusing.
4. Considered a voltage divider approach, but the interactions between components seemed too complex.

I’m unsure if my method is correct or if there’s a simpler approach. Any advice on handling the amplifier or simplifying the circuit would be great.

Here is a schematic of the circuit, from the homework problem:

Image may be NSFW.
Clik here to view.