ODEs with discontinuous equation in ODE solvers

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Hi Mathworks,
I have a differential equation with a dependent variable X. The differential equation has the property that the time-derivative of X is constant if X is above some threshold C, and exponential if X is below some threshold C. Namely:
dX/dt = X when X<C
dX/dt = C when X>C
Is there a way I can code this condition up in one of the ODE solvers, like ode23?
Thanks!
Linford

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