Generating a vector for ode45

Hi, somewhat new to matlab my problem is:
I've been trying to make a code to solve the following set of odes:
for r where we can choose N and , and we are given .
I'm not sure of how to make a vector containing each of these ode's as elements of the vector so I can put it into ode45.
Many Thanks!

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That looks like something that could be expressed in matrix form.

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2021-8-20

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