In Matlab:

Exercise 3 Consider the following differential equation:

(a) Using Eulers approximation of derivatives with arbitrarily, derive a difference equation model.

(b) Using the answer in part (a) and the M-file recur with T = 0.5 compute the approximation to y(t).

Plot the response y(t) for 0 t 20.

(c) Repeat part (b) for T = 0.05 and T = 0.02

(d) Compare the responses given in parts (b) and (c). Justify your conclusion.

d'y(t) dy(t) dt dt