I asked this question before in relation to calculating power before but it seems I might have not been clear enough. I'll draw the original circuit and then the circuits for calculating Thevenin and Norton:
Here's how I would go about writing the circuit to find I short circuit or I Norton (EDIT: just noticed, is my arrow for Isc backward given V0? BTW, this isn't my main trouble for this problem):
Here's what I would do for V open circuit or V Thevenin:
I could calculate the open circuit voltage and the short circuit current easy if I had more independent sources but the dependent sources make these calculations harder.
I'm not sure how or where to use source transformation, mesh or nodal analysis, etc on this circuit. Each time I try one I end up in a spot that I can't figure out how to use it or I get equations that don't give me values.
For example, If I try to find I short circuit by using mesh analysis, I do not have any resistors that will give me a current for I short circuit. I can't solve the system of equations for I short circuit after getting the other meshes. I could try and find the other currents and then apply KCL at one of the nodes that I short is going into or out of, but I can't ever find the correct equations for the other currents in the other meshes.
For V open circuit, I just don't know where to start with that one.
This circuit seems impossible to solve and I have been looking at it for hours now. If someone could please give me some guidance/solution you will save my sanity. Thank you.