28t Verify that the pair x(t) = e . y(t) = e “ is a solution to the given system below. Sketch the trajectory of the given solution in the phase plane. dx dt = 28y", = 7y Verify that the pair x(t). y(t) is a solution of the system. Select the correct choice below and fill in any answer boxes to complete your choice. (Type expressions using t as the variable.) O A. The pair x(t) = e 281, y(t) = e ™ is a solution because in terms of t, x'(t) = and y'(t) = .In terms of x and y, x'(t) = [ and y'(t) = O B. The pair x(t) = e 281, y(t) = e " is a solution because in terms of t, x(t) dt = | and Jyt)c .In terms of x and y, x(t) dt = dt = and dt =
28t Verify that the pair x(t) = e . y(t) = e “ is a solution to the given system below. Sketch the trajectory of the given solution in the phase plane. dx dt = 28y", = 7y Verify that the pair x(t). y(t) is a solution of the system. Select the correct choice below and fill in any answer boxes to complete your choice. (Type expressions using t as the variable.) O A. The pair x(t) = e 281, y(t) = e ™ is a solution because in terms of t, x'(t) = and y'(t) = .In terms of x and y, x'(t) = [ and y'(t) = O B. The pair x(t) = e 281, y(t) = e " is a solution because in terms of t, x(t) dt = | and Jyt)c .In terms of x and y, x(t) dt = dt = and 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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Transcribed Image Text:28t
Verify that the pair x(t) = e
.y(t) = e" is a solution to the given system below. Sketch the trajectory of the given solution in the phase plane.
dx
4 dy
28y
dt =7y
dt
Verify that the pair x(t), y(t) is a solution of the system. Select the correct choice below and fill in any answer boxes to complete your choice.
(Type expressions using t as the variable.)
O A. The pair x(t) = e
28t
y(t) =
* is a solution because in terms of t, x'(t) =
and y'(t) =|
.In terms of x and y, x'(t) =
and y'(t) =
1
О В.
The pair x(t) =
28t
y(t) = e" is a solution because in terms of t, x(t) dt =
and
dt =
In terms of x and y, x(t) c
dt =
and
y(t) dt =
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