Question

There are 5 errors in the MATLAB function code below. This function is supposed to numerically approximate a system of ODEs using Euler's method with a for loop. (a) What are the errors? (b) How would you fix them? 88 388 function (t, y) euler_system (ODEFUN, TSPAN, YO, H) %EULER_SYSTEM (ODEFUN, TSPAN, YO, H) will numerically solve a system fof first order ODEs using Euler's Method, where ODEFUN is a %column vector of the derivative functions, TSPAN is a vector &containing a start and end time, yo is a column vector with the finitial values, and H is the step size. % initialisation t0 = TSPAN (1); tf = TSPAN (3); t = t0:h:tf; y (:,1) = YO; % applying Euler while i = 1: length(t)-1 y (:,i+1) = y(:, i) + H*ODEFUN (t (i),y(:, i));

Answer 1

`Hey,

Note: If you have any queries related to the answer please do comment. I would be very happy to resolve all your queries.

First error is

tf=TSPAN(3) it should be

tf=TSPAN(2)

second error is

t=t0:h:tf h should be replaced with H

THIRD ERROR IS

while should be replaced with for

Fourth and fifth error are

there should be 2 ends after whole code

So, last 2 lines will be

end

end

Kindly revert for any queries

Thanks.