Determine which differential equation best represents the system described by the block diagram below. x(t) O a. b. C. d. + y(t) - 3 dy() dt dy(t) dt y(t) +34 dy(t) dt y(t) — 3. y(t) + 3 dy(t) dt 3 d dt d dt d²x(t) dt² · 4x(t) + 2· 2 -4 = −4x(t) + 2- 2 d²x(t) dt² = = −4x(t) + 2- = 0 d²x(t) dt² − 4x(t) + 2² = 0 d²x(t) dt² + y(t)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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Determine which differential equation best represents the system described by the block
diagram below.
x(t)
O
a.
b.
C.
d.
+
y(t) - 3 dy()
dt
y(t)+3°
y(t) — 3.
dy(t)
dt
dy(t)
dt
y(t) + 3 dy(t)
dt
3
d
dt
d
dt
¸d²x(t)
dt²
· 4x(t) + 2·
-4
= −4x(t) + 2-
=
= −4x(t) + 2-
2
d²x(t)
dt²
d²x(t)
dt²
= 0
- 4x(t) + 2² = 0
d²x(t)
dt²
+
y(t)
Transcribed Image Text:Determine which differential equation best represents the system described by the block diagram below. x(t) O a. b. C. d. + y(t) - 3 dy() dt y(t)+3° y(t) — 3. dy(t) dt dy(t) dt y(t) + 3 dy(t) dt 3 d dt d dt ¸d²x(t) dt² · 4x(t) + 2· -4 = −4x(t) + 2- = = −4x(t) + 2- 2 d²x(t) dt² d²x(t) dt² = 0 - 4x(t) + 2² = 0 d²x(t) dt² + y(t)
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