Rewrite multiple second order differential equation to solve with Runge-kutta 4

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bosse on 23 Nov 2021
Commented: James Tursa on 3 Dec 2021
I need help with rewriting multiple second order differential equations so that I can solve them with Runge-kutta 4.
My equations look like this
and I have the starting values of c=0.0084, z0=1.78, m=0.112, xdot=cos(27) and zdot=sin(27).
I've tried rewriting these equations to systems of first order equation but I cant quite figure it out.

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