Question: How to solve a system of time derivatives for a specific time?

For two angles a and b, and functions f and g, I have a system of two equations,

diff(a(t),t$2) = f(a(t), b(t), diff(a(t),t), diff(b(t),t)) and diff(b(t),t$2) = g(a(t), b(t), diff(a(t),t), diff(b(t),t)).

The actual equations (i.e. not in terms of f and g) are known but are ommitted because they are very long.


I need not the solutions but simply the time t at which a(t) = b(t). While I have inputted the full equations into Maple, I do not know how to ask it to find an expression for t in terms of the constants of the equation.

How would I ask Maple to find this time?

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