Derive a linear differential equation for the above LTI system.
The Attempt at a Solution
Using KVL, I can get the following equation:
However, I don't know where to go from here. All of the differential equations describing LTI systems in my textbook look like:
[itex]ay'' + by' + cy = g(x)[/itex]
Or something similar to that, and then we factor out the y to get something like
[itex](aD^2+bD+c)y = g(x)[/itex]
Then we factor what's in the parenthesis to find the characteristic roots.
Any advice on how to proceed?