dy (a) dt + 2y(t) = x?(t) dy (b) dt + 3ty(t) = tx(t) (c) 3y(t) +2 = x(t) dy (d) + y?(t) = x(t) dt (2) 2 dy +2y(t) = x(t) (e) dt dy dx (f) + (sin t)y(t) dt + 2x(t) %3D dt dy (g) dx +2y(t) = x(t)- dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
(h) y(t) = / x(*
dy
(a)
dt
+ 2y(t) = x?(t)
dy
(b)
+ 3ty(t) = 1x(t)
%3D
dt
(c) 3y(t) + 2 = x(t)
dy
(d)
+ y? (t) = x(t)
dt
(2)'
(e)
+2y(t) = x(t)
dy
dx
(f)
+ (sin t)y(t)
dt
+ 2x(t)
dt
dy
+2y(t) = x(t)
dt
dx
(g)
dt
=
2p(1)x
Mathematical models of some
continuous-time systems are given
above. x(t) is the input, y(t) is the
output of the systems.
Which of the following systems
are linear, which are nonlinear?
Write "linear" in the blank for linear
systems.
Write "nonlinear" in the blank
for nonlinear systems.
Transcribed Image Text:(h) y(t) = / x(* dy (a) dt + 2y(t) = x?(t) dy (b) + 3ty(t) = 1x(t) %3D dt (c) 3y(t) + 2 = x(t) dy (d) + y? (t) = x(t) dt (2)' (e) +2y(t) = x(t) dy dx (f) + (sin t)y(t) dt + 2x(t) dt dy +2y(t) = x(t) dt dx (g) dt = 2p(1)x Mathematical models of some continuous-time systems are given above. x(t) is the input, y(t) is the output of the systems. Which of the following systems are linear, which are nonlinear? Write "linear" in the blank for linear systems. Write "nonlinear" in the blank for nonlinear systems.
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