Verify that the pair x(t) = e³t, y(t)=e¹ is a solution to the given system below. Sketch the trajectory of the given solution in the phase plane. dy dt dx 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. it, √ x(t) dt = [ The pair x(t) = e³t, y(t) = ¹ is a solution because in terms of t, x(t) dt = OB. The pair x(t) = ³t, y(t) = e¹ is a solution because in terms of t, x'(t)= Sketch the trajectory of the given solution in the phase plane. Choose the correct graph below. O A. Ay 10+ O D. Ay = y 10- 100 10 Q Q Q G nd Sy(t) dt = | . In terms of x and y. x(t) dt = and Sy(t) dt = and y' (t) = . In terms of x and y, x'(t) = [ and y'(t)=- O B. 100- O E. Ay 100- M 10 Q Q Q Q O C. Ay 10- O F. Ау 10- 10 Q Q ✔ Q Q
Verify that the pair x(t) = e³t, y(t)=e¹ is a solution to the given system below. Sketch the trajectory of the given solution in the phase plane. dy dt dx 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. it, √ x(t) dt = [ The pair x(t) = e³t, y(t) = ¹ is a solution because in terms of t, x(t) dt = OB. The pair x(t) = ³t, y(t) = e¹ is a solution because in terms of t, x'(t)= Sketch the trajectory of the given solution in the phase plane. Choose the correct graph below. O A. Ay 10+ O D. Ay = y 10- 100 10 Q Q Q G nd Sy(t) dt = | . In terms of x and y. x(t) dt = and Sy(t) dt = and y' (t) = . In terms of x and y, x'(t) = [ and y'(t)=- O B. 100- O E. Ay 100- M 10 Q Q Q Q O C. Ay 10- O F. Ау 10- 10 Q Q ✔ Q Q
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:3t
Verify that the pair x(t) = ³t, y(t) = ¹ is a solution to the given system below. Sketch the trajectory of the given solution in the phase plane.
e
dx
dt
Ay
3 dy
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.
3t
The pair x(t) = ³t, y(t) = ¹ is a solution because in terms of t. x(t) dt = |
10-
=3y³.
and i Sy(t) dt = |
and y' (t) =
OB. The pair x(t) = e³t, y(t)=e¹ is a solution because in terms of t, x'(t)=
3t
Sketch the trajectory of the given solution in the phase plane. Choose the correct graph below.
O A.
0-
=y
100
O D.
A)
10+
H
0
10
Q
Q
Q
Q
✔
In terms of x and y, x'(t) =
O B.
Ay
100-
O E.
Ay
In terms of x and y, x(t) dt = and y(t) dt = |
||
and y'(t)=
100+
10
10
Q
Q
Ⓡ
O C.
A
10-
0
O F.
Ay
10+
0-
10
10
Q
Q
✔
Q
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