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Write a python program to solve the following equations using the fourth-order Runge- Kutta method for the case ( = 2, = = 1/2, =

Write a python program to solve the following equations using the fourth-order Runge- Kutta method for the case ( = 2, = = 1/2, = 1), starting from the initial condition

x = y = 4. Then, have the program make a graph showing both x and y as a function of time on the same axes from t = 0 50. Show a screenshot of the results.

Equations:

dx/dt = x xy

dy/dt = xy y

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