A system of differential equations is said to be coupled if the variables and their derivatives are interrelated, meaning knowledge of one variable depends on knowledge of another.
Coupled systems of differential equations can be written in the form
Let a coupled system of differential equations be given by the formulas
We can use Euler's method to find how the x and y values change when t moves in steps of size h by using the equations:
Nice work completing Coupled systems, here's a quick recap of what we covered:
Exercises checked off