MATLAB

1. ynt = dsolve('Dx(t) = - k*(a-x(t))', 't'), k = {1 2 3}, a = {-2 4 0}
2. ynt = dsolve('Dx(t) = - k*x(t) + t', 't'), k = {1 2 3}

1. ezplot(ynt)
2. ezplot(ynt,[-2,2])

Ex. dsolve('Dy(t) = -3*y(t) + t, y(0)=2','t')

Eq(1), x(0)=1,2,3

Eq(2), x(0)=1,2,3

4. By using the "eval" command and regular "plot" function, (a) Define appropriate time intervals for your solutions for better observing the transitions. (b) Using a loop, i. Plot together the "k" parameter variations in Eq (1). ii. Plot together the "a" parameter variations in Eq (1). iii. Plot together the "K" parameter variations in Eq (2). 4. By using the "eval" command and regular "plot" function, (a) Define appropriate time intervals for your solutions for better observing the transitions. (b) Using a loop, i. Plot together the "k" parameter variations in Eq (1). ii. Plot together the "a" parameter variations in Eq (1). iii. Plot together the "K" parameter variations in Eq (2)