Solve non linear second order ODE with numeric function

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I have to solve a non linear second order ODE of the type
where F(y) is a numeric function (in the meaning that I have the data in a vector for particular values of y).
Obviously if F(y) was costant it was easy to solve it also analytically. I thought I could fit the function F(y) and then solve with ode.
Which is the best way to solve it with Matlab?
Thank you for the reply.

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R2019a

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