// =============================================================================
// EXAMPLE 1 - Basic equation that only takes in 't' with each execution.
// example from matlab converted to the syntax you use.

f = @(t,y) [2*t;]
[t,y] = ode45(f, [0 5], 0);


// =============================================================================
// EXAMPLE 2 - More complex equation. In addition to taking in 't' for each execution, it also takes in two other variables that you've supplied.
f = @(t,y) [2*t+x(1)+x(2);]
[t,y] = ode45(@(f, [0 5], [1000, 5000], 0);

// The first time the equation runs, with t=0, the function would have these values "2*0+1000+5000"

// Now, when f is run the function will have 't' supplied several times as the values between 0 and 5. You passed the time (x axis) in as [0 5], and it knows how to turn that in to 0,1,2,3,4,5 and calls your function that many times.
// The other variables, x(1) and x(2), are filled in with 1000 and 5000, respectively.