Solving inequality involving NDSolve output?

Questions
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1

Hello everyone,

I have a function, x12(t), that I solved for using NDSolve. I am hoping to find all of the intervals of time for which x12(t) < NCritical. I tried to use the Reduce function but that did not work (see attached notebook). Is there a straightforward way to solve this inequality?

The RootSearch function seems to be really reliable in terms of finding when x12(t) = NCritical, but I am not sure if there is a simple way to use this function to find the intervals when x12(t) is specifically < NCritical. Any suggestions would be greatly appreciated!

Alex

test5.nb (50.1 KB)

2

It seems that Reduce cannot solve inequalities involving InterpolatingFunction. However, you may check the inequality numerically in the midpoint of each interval provided by RootSearch.