This is probably a silly question, but I am trying to compare the difference between two variables in the numerical solution of a system of ODEs. Ideally, I would like a method to find the maximal difference that occurs between two variables.
The following is a highly simplified example of what I'm talking about. In this case I'd like some means to find the timepoint and magnitude of the maximal difference between y2(t) and y3(t) for t>0, which from the plot can be seen to occur at about 1.75 seconds. Note: I realise this particular case admits an analytic solution of y3(t) which could be exploited, but in the general case I'm interested in that won't be true.
Thanks in advance for any help you can provide.