Logic: One of Two Conditions

[tangodirt]

Here's the issue. I have two curves that are dependent on each other (part of a bigger solution set). The logic of my program requires that one of two conditions have to be met.

Basically, two curves are rising in y as x increases. Either curve 1 will reach some value "first", or curve 2 will reach some other value first. The shape of the curves is unknown (part of a larger function, so only values at instantaneous points are calculated).

Any recommendations for solving this problem without manually stepping through x?

 

[Valkarie]

My goal is to find the x value at which one of the two conditions is met.One approach you could take to solve this problem is to use a numerical optimization algorithm. By providing it with the two curves and the two values that need to be reached, it can try to find a solution by iteratively optimizing the x value until it finds the x value that satisfies either of the two conditions. This approach can be used for a variety of optimization problems, so it may be a good starting point for your problem.