OpAmp Circuit Analysis: Finding the Differential Equation for Vo

[NascentOxygen]

If I derive the combined equation and then solve NodeV1 for V_2' and plug into get rid of V_2', would that work?

That's what I've been anticipating.

 

[rude man]

You seem to want to 'get rid of derivatives'. You can't. In fact the problem asks for the differential equation for Vo. That will include time derivatives of Vo and/or Vin.

Had you been asked to find Vo itself that would mean solving the diff. eq. But you weren't given an expression for Vin so you can't solve for Vo.