Solve a four-variable ordinary differential equation using the Runge-Kutta method (four-stage, fourth-order)
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As an example, we will calculate a pendulum where x and y are small angles, and z and w are arbitrary angles.
For three variables, set f4=0; for two variables, set f3=0 as well.
For three variables, set f4=0; for two variables, set f3=0 as well.
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dy/dt = f2(x, y, z, w, t)
dz/dt = f3(x, y, z, w, t)
dw/dt = f4(x, y, z, w, t)
We will solve these four-variable ordinary differential equations using the Runge-Kutta method (four-stage, fourth-order).