Myujth

Hello I am trying to apply dde23 to the Delayed Differential Equation

y'(t) = 3y(t - 2) with history h(t) = 1 when on the interval .

I have already solved this equation using the method of steps to obtain the piecewise solution

I am interested in comparing this solution using a numerically obtained result from dde23 on MATLAB but am having trouble understanding how to modify the default code given for my particular problem. So far I have modified the default Wiley and Baker Example 23 code:

sol = dde23(@ddex1de,[3, 2],@ddex1hist,[0, 3]);
figure;
plot(sol.x,sol.y)
title('MAT 5450 P5');
xlabel('time t');
ylabel('solution y');

function s = ddex1hist(t)
s = ones(3,1);
end

function dydt = ddex1de(t,y,Z)
ylag1 = Z(:,1);
ylag2 = Z(:,2);
dydt = [ ylag1(1)
ylag1(1) + ylag2(2)
y(2) ];
end

This code produces a graph figure but I am almost absolutely sure the code is not correctly adapted for my particular problem. I would appreciate any help in modifying this code for my problem so that I can compare my answer obtained without the use of MATLAB, thanks.