(0.862069,-1.54167) At least one of the answers above is NOT correct. Consider the system of equations (25-27) 29 24 (Enter your equation, e.g., y=x.) (Note that there are also nullclines lying along the axes.) dx dt dy dt = x (1 - / / taking (x, y) > 0. (a) Write an equation for the (non-zero) vertical (x-)nullcline of this system: y=(5-x)/ 5 (Enter your equation, e.g., y=x.) And for the (non-zero) horizontal (y-)nullcline: y=6(1-x) = y(1-% -2), (b) What are the equilibrium points for the system? Equilibria= (0,0), (5,0), (0,6), (25/29,24/29) (Enter the points as comma-separated (x,y) pairs, e.g., (1,2), (3,4).) - y) incorrect (c) Use your nullclines to estimate trajectories in the phase plane, completing the following sentence: If we start at the initial position (4,1), trajectories converge to the point (25/29, -37/24) (Enter the point as an (x,y) pair, e.g., (1,2).) The first coordinate is incorrect The second coordinate is incorrect
(0.862069,-1.54167) At least one of the answers above is NOT correct. Consider the system of equations (25-27) 29 24 (Enter your equation, e.g., y=x.) (Note that there are also nullclines lying along the axes.) dx dt dy dt = x (1 - / / taking (x, y) > 0. (a) Write an equation for the (non-zero) vertical (x-)nullcline of this system: y=(5-x)/ 5 (Enter your equation, e.g., y=x.) And for the (non-zero) horizontal (y-)nullcline: y=6(1-x) = y(1-% -2), (b) What are the equilibrium points for the system? Equilibria= (0,0), (5,0), (0,6), (25/29,24/29) (Enter the points as comma-separated (x,y) pairs, e.g., (1,2), (3,4).) - y) incorrect (c) Use your nullclines to estimate trajectories in the phase plane, completing the following sentence: If we start at the initial position (4,1), trajectories converge to the point (25/29, -37/24) (Enter the point as an (x,y) pair, e.g., (1,2).) The first coordinate is incorrect The second coordinate is incorrect
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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please solve it on paper
Transcribed Image Text:(0.862069,-1.54167)
At least one of the answers above is NOT correct.
Consider the system of equations
25 -37
"
29 24
And for the (non-zero) horizontal (y-)nullcline:
y= 6(1-x)
(Enter your equation, e.g., y=x.)
(Note that there are also nullclines lying along the axes.)
dx
dt
dy
dt
= x
x (1-5-3)
Y
y (1 - 3 / - x),
6
= y
taking (x, y) > 0.
(a) Write an equation for the (non-zero) vertical (x-)nullcline of this system:
y=(5-x)/5
(Enter your equation, e.g., y=x.)
(b) What are the equilibrium points for the system?
Equilibria =
(0,0), (5,0), (0,6), (25/29,24/29)
(Enter the points as comma-separated (x,y) pairs, e.g., (1,2), (3,4).)
incorrect
(c) Use your nullclines to estimate trajectories in the phase plane, completing the following sentence:
If we start at the initial position (4,1), trajectories converge to ✓the point (25/29, -37/24)
(Enter the point as an (x,y) pair, e.g., (1,2).)
The first coordinate is incorrect
The second coordinate is incorrect
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