solving ode with variable, discrete coefficients

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Hi there, I am working on solving a system of ODEs where there are variable, discrete coefficients. However, I don't know how to handle ode45 function and my equation function. If someone could help me, it would be really appreciated.

My problem is * u'(s) = v(s) * v'(s) = A(s)*cos(u(s)) * u(0) = 0, v(0) = 1,

where A(s) is not a closed form of function, but vector of values at each point s, which is obtained from solving preliminary ODEs. What I am thinking is to call another function which returns the value of A at each point s inside my ode function. But, I am not sure how to handle the independent variable s in ode45 so that 's' in ode45 is matched with the 's' which is already defined in A(s).

Thanks