Using Euler's method in MatLab to solve a system of ODEs

I have a system of first order ODEs that I need to use Euler's method on. I have a general code for using Euler's Method in MATLAB for one equation, but I'm not sure how to apply it to a system.

I have x'(t) and y'(t), the input is supposed to involve h, t0, x0, y0, and tf. The output is supposed to generate vectors. How do I go about writing this?

[darova]

What have you tried already?

Answer 1

[Sulaymon Eshkabilov]

You can express your system of ODEs directly (1), using anonymous function (@) (2), writing a function file (3) or inline function (4). E.g.

dx = 3x-y

dy = 3x+5y

that can be expressed directly (1):

df = ([3*x(1,:) - x(2, :); 3*x(1,:)+5*x(2,:)]);

Or can be also expressed via anonymous function (2):

df = @(x1, x2)([([3*x1-x2; 3*x1+5*x2])])

etc.

Note where x1 represents x and x2 represents y. Note also how you write the given ICs: [x0; y0]

Good luck.