Question
Two LTI systems #1 and #2 are governed by the differential equations: d 2 y1(t)/dt 2 + A 1 *dy1(t)/dt+ B 1 *y1(t) = x1(t),
Two LTI systems #1 and #2 are governed by the differential equations:
d2 y1(t)/dt2+ A1*dy1(t)/dt+ B1*y1(t) = x1(t),
d2 y2(t)/dt2 + A2*dy2(t)/dt+ B2*y2(t) = x2(t).
(a) Determine the differential equation satisfied by the output y21(t) from the cascaded system
formed by system #1 followed by system #2 for input signal x(t).
(b) Determine the differential equation satisfied by the output y12(t) from the cascaded system
formed by system #2 followed by system #1 for input signal x(t).
(c) Prove that the outputs from the two cascaded systems are the same; i.e., satisfy the same
differential equation.
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Rockford Practice Set To Accompany Intermediate Accounting
Authors: Donald E. Kieso
16th Edition
1119287936, 9781119287933
