Prob. "2. (8 points) (a) Draw the block-diagram representation for the system characterized by the following input-output equation, where x(t) is the input and y(t) the output [4 pts]: dy(1) Y(1)

=0.25 -0.5 {}(z) №t + x(1) dt (b) Write the input-output equation for the following system block-diagram (4 pts]: z(t) + 100 K y(t)