Solve the following simultaneous differential equations using the Laplace transform, assuming all initial conditions to be zero and the input x(t)=u(t) :I.(D+3)y1(t)-2y2(t)=x(t) -2y1(t)+(2D+4)y2(t)+0 II.(D+2)y1(t)-(D+1)y2(t)=0 -(D+1)y1(t)+(2D+1)y2(t)=x(t) Determine the transfer function relating outputs y1(t) and y2(t) to the input x(t)

A)-in the process of engineering design, explain the contribution of material selection. b)- explain the procedure of synthesis as is employed in engineering design. c)- is there any relationship between ergonomics and engineering design? explain. d)- safety consideration in engineering design includes human, product and the enviroment . explain how safety will be incorporated into the design?