(b): choose stable/unstable/semistable/neither
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(b): choose stable/unstable/semistable/neither Thanks! (2 points) The phase plot for an ODE -f(y) is shown below dx dy/dx (a) Which of these could be a plot of solutions y vsx corresponding to this O...
For (b): choose stable/unstable/semistable/neither (2 points) The phase plot for an ODE -f(y) is shown below dx dy/dx (a) Which of these could be a plot of solutions y vsx corresponding to this ODE? A. B. C. D. You can click the graphs above to enlarge them A. A B. B C. C D. D (b) The smallest equilibrium of this ODE is y and the largest equilibrium of this ODE is y - (c) For which of the following...
Choose option Stable, Unstable, Semistable, Neither (2 points) The phase plot for an ODE-= f(y) is shown below. dy/dx -2 -1 2 (a) Which of these could be a plot of solutions y vs r corresponding to this ODE? 8 A. You can click the graphs above to enlarge them A. A B. B D. D (b) The smallest equilibrium of this ODE is y and the largest equilibrium of this ODE is y- (c) For which of the following...
dy dx 2 points) The phase plot foan ODE shown below dy/dx hoyts dockland - Google Search -1 (a) Which of these could be a plot of solutions y vs x corresponding to this ODE? A. B. C. D. You can click the graphs above to enlarge them. A. A B. B C. C D. D (b) The smallest equilibrium of this ODE is y- and the largest equilibrium of this ODE is y (c) For which of the following...
dy 2 points) The phase plot for an ODE fyis shown below dy/dx -2 -1 -1 (a) Which of these could be a plot of solutions y vs corresponding to this ODE? You can ciick the grapns above to enlarge them A. A ов, в ос. с D. D (b) The smallest equilibrium of this ODE is y which is choose uilibrium of this ODE is y and the which is choose (C) For which or the following value(s) of...
The phase plot for an ODE dy dx =f(y) dydx=f(y) is shown below. 4 3 2 1 2 1 1 1 1 2 3 (a) Which of these could be a plot of solutions y vs x corresponding to this ODE? 9 2 B. A. 2 2 3 C. D. You can click the graphs above to enlarge them. OA. A ов, в OC. C OD. D E which is choose (b) The smallest equilibrium of this ODE is y-...
1. Consider the family of differential equations dy/dx = y^3 + ky + k^3 . Please Help me with it, thanks so much 1. Consider the family of differential equations de set = y2 + ky + k3. (a) Are there any equilibrium solutions when k = 0? If so, what are they? (b) Draw the bifurcation diagram. That is, sketch a graph of the critical values as a function of the parameter k. Clearly label the axes. (You may...
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
(a) Solve the following initial value problem: dy/dx = (y^2 − 4) / x^2 y(1) = 0 (b) Sketch the slope field in the square −4 <x< 4,−4 <y< 4, and draw several solution curves. Mark the solution curve corresponding to your solution. (c) What is the long term behaviour of the solution from (a) as x → +∞? Is it defined for all x? (d) Find the only solution that satisfies lim(x→+∞) y(x) = 2, and explain why there...
(1 point) Consider the system of differential equations dx dt = -1.6x + 0.5y, dy dt = 2.5x – 3.6y. For this system, the smaller eigenvalue is -41/10 and the larger eigenvalue is -11/10 [Note-- you may want to view a phase plane plot (right click to open in a new window).] If y' Ay is a differential equation, how would the solution curves behave? All of the solutions curves would converge towards 0. (Stable node) All of the solution...
dx/dt = 4x -x^2 -2xy dy/dt = -y+0.5 xy a) find equilibrium points b) find Jacobian matrix for above system c) find Jacobian matrix at eq. point (0,0) d) draw phase portrait near (0,0) from © e) show at eq. point (4,0) the Jacobian matrix is -4 -8 0 1 f) draw phase portrait near (4,0) from (d) g) at eq. point (2,1) the Jacobian matrix is -2 -4 0.5 0 h) draw phase portrait near (2,1) from (f) i)...