system
Given the following post, respond as if you're commenting on Reddit:
human
Pilot wave theory, a theory involving highly complex and non-linear differential equations, is fully equivalent to matrix mechanics, a theory involving only linear differential equations. Does this have implications for our ability to solve non-linear differential equations?
gpt
Matrix mechanics is contained in pilot wave theory. Pilot wave theory just adds an equation describing trajectories which is non-linear. 

It has no implications at all on our ability to solve non-linear equations.