2 Solve the following using a forend loop to create three ve

2. Solve the following using a for-end loop to create three vectors

i T contains the integers between 1 and 50
ii. Y contains elements where each element is Yn=1-­e^(-T/10)

iii. Vector dY contains the values of the change in y, that is dYn=Yn+1-­Yn. Note that since each dY takes two Y to calculate, there will be one less dY (49).

iv. Display T ,Y and dY in a table

v. Plot Y(vertical) against T(horizontal) vi. Plot dY(vertical against T(horizontal)

Solution

T = zeros(50, 1);
Y = zeros(50, 1);
dY = zeros(50, 1);

for i=1:1:50
    T(i) = i;
    Y(i) = 1-exp(-1.0*i/10);
    if i>1
        dY(i-1) = Y(i) - Y(i-1);
    end
end
Table = table(T, Y, dY);
disp(Table);
plot(T, Y);
plot(T, dY);