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As a high school student I was working on an independent project and at last I found final differential equations that I want to integrate them numerically. I read a little bit and found out that Fourth Order Runge-Kutta Method is one of the good methods. By the way could you please help me to do that. I want to write a C++ program to use numerically integrated numbers to simulate something. So could please help me with that. I mean to integrate these four differential equations preferably in C++.

I give one of the four equations as a sample but all of them are in attachment so please refer to attachment to see them.

Û = -(K1 (sin z)^2 + K2 (cos z)^2 + (K1 - K2) * sin z * cos z u

Please help me or give me some advice about how to start.

Thanks very very much

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# Fourth Order Runge-Kutta Method

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