Question: how can i solve coupled equations in runge kutta method? :(

Hello guys

I have a problem in runge kutta method for coupled differential equations .For example consider these equations:



The boundry conditions are:


Φ(x) and Ψ(x) are unknown functions and a,b,c,d,e,j,h are constants . I want to get answers by runge kutta numerical method .

i used this form of algorithm but i cant do it :


please help me to solve these types of equations.

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