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I have the following function typed in MATLAB: function [TOUT,YOUT] = modifiedeuler(ODEFUN,TSPAN,Y0,N) YOUT(1) = Y0; TOUT(1) = TSPAN(1); h =...

I have the following function typed in MATLAB:

function [TOUT,YOUT] = modifiedeuler(ODEFUN,TSPAN,Y0,N)

YOUT(1) = Y0;

TOUT(1) = TSPAN(1);

h = (TSPAN(2)-TSPAN(1))/N;

for i = 1:N

YOUT(i+1) = YOUT(i) + h*ODEFUN(TOUT(i),YOUT(i));

TOUT(i+1) = TOUT(i) + h;

end

However I need to have a WHILE loop in it, if need be the FOR statement can be removed. The WHILE LOOP should be able to solve an ODE using modified euler's method

MATLAB question and code required. Thank you.

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