Runge-Kutta method for simultaneous first order equations
Consider the simultaneous equations
With the initial condition y(x0) = y0 and z(x0) = z0. Now, starting from (x0, y0, z0), the increments k and l in y and z are given by the following formulae:
Hence
To compute y2, z2, we simply replace x0, y0, z0 by x1, y1, z1 in the above formulae.
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