How can I set a code for differential equation using George Polya's method

For a steady banked turn. In such a turn the aircraft uses part of the lift force to provide the centripetal force, the force towards the centre of the turn. Solve the governing differential equation, think ? = ? ?, and demonstrates how it works? I have to use explicit differentiation

Mass 8000 kg

Speed 80 m/s]

Turn radius 250 m

Acceleration due to gravity 9.81 m/s2

I need to calculate forces in x and y direction and then plot a graph of F-t and a position graph but I am not sure where to start please help!!f

[James Tursa]

Please post the actual wording of the homework question.

[Amparo Dias]

This is the question

For a steady banked turn the aircraft uses part of the lift force to provide the centripetal force, the force towards the centre of the turn. This question requries you to design and implement a script or function that solves the governing differential equation, think ? = ? ?, and demonstrates how it works?

-plot that shows the effect of changing changing the timw step size and how the implementation compares to analytic solution

Mass 8000 kg

Speed 80 m/s]

Turn radius 250 m

Acceleration due to gravity 9.81 m/s2

we need to use equation from 5.2.2 i think