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![-1 -0.37 A = 21,2 = -1 1 1/2 stable, four (@ 05 -1 ^[77 ©*: [423] dusza ti, cesta dore = f zi Caster ® B. A = [1 -0.5 7,2 = 1](http://img.homeworklib.com/questions/e09ce820-a225-11eb-ba92-1f55ea87097a.png?x-oss-process=image/resize,w_560)
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(1 point) Match each initial value problem with the phase plane plot of its solution. (The...
(1 point) Match each linear system with one of the phase plane direction fields. (The blue...
(1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips) ? 1. - ? 2 = ? 3. ?
(1 point) Match each linear system with one of the phase plane vector fields. 71 1....
(1 point) Match each linear system with one of the phase plane vector fields. 71 1. z' = y2 y' = 2:22 1 ? ? ? 2. z' = sin(my) y = 1x 3. z' = y = y2 Itt til ? 4. x' = ry y'=1+y? 7 А - - V111111TININ I II/1
**2 (1 point) Match each linear system with one of the phase plane direction fields. (The...
**2 (1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) D$ 1.59 = [- 11111!IN IIIIII +1+ Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are
(1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a calculator...
(1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a calculator or computer to estimate the roots of the polynomial which defines the eigenvalues. You also may want to view a phase plane plot (right click to open in a new window).]] 46 A -4 38 -5 smaller eigenvalue associated eigenvector = larger eigenvalue associated, eigenvector (1 point) Consider the system of differential equations dr dt 3x + 0.5y, dy 2.5x + y. dt For...
(1 point) Solve the initial value problem dx -H x(0) х, dt Give your solution in...
(1 point) Solve the initial value problem dx -H x(0) х, dt Give your solution in real form. x(t) Use the phase plotter pplane9.m in MATLAB to determine how the solution curves (trajectories) of the system x' = Ax behave. A. The solution curves race towards zero and then veer away towards infinity. (Saddle) B. All of the solution curves converge towards 0. (Stable node) C. All of the solution curves run away from 0. (Unstable node) D. The solution...
Problem 8. (1 point) 2. Find the most general es-valued solution to the inear system of...
Problem 8. (1 point) 2. Find the most general es-valued solution to the inear system of diferential equations 7' = [-13]: x (1) C + C2 x2 (1) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of those Problem 9. 11 point) Match each linear system with one of the phase plane direction fields. (The blue lines are...
(1 point) a. Find the most general real-valued solution to the linear system of differential equations...
(1 point) a. Find the most general real-valued solution to the linear system of differential equations x -8 -10 x. xi(t) = C1 + C2 x2(t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these ОООООО (1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a calculator or computer to estimate the...
Match each solution (in red) with its initial value problem Entering Answer (10 points) Note: You...
Match each solution (in red) with its initial
value problem
Entering Answer (10 points) Note: You have only 5 attempts to solve this problem. Match each solution (in red) with its initial value problem. ? 1. ? 42. X = x-17-)«, x0 = (?) x= [ ]] x xo) = [] x=[7-) * xo = [2] x= [ { }] + x =[0] ? 3. x' = 1 ? 4. x' = A B с D
(1 point) Consider the system of differential equations dx dt = -1.6x + 0.5y, dy dt...
(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...
(1 point) Solve the initial value problem dx 1.5 2. -1.5 1,5) X, x(0) = (-3)...
(1 point) Solve the initial value problem dx 1.5 2. -1.5 1,5) X, x(0) = (-3) dt -1 Give your solution in real form. 3e^(1/2) x(t) = -2e^(-1/2t) Use the phase plotter pplane9.m in MATLAB to determine how the solution curves (trajectories)of the system x' Ax behave. O A. The solution curves converge to different points. OB. The solution curves race towards zero and then veer away towards infinity (Saddle) C. All of the solution curves run away from 0....
(1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips) ? 1. - ? 2 = ? 3. ?
(1 point) Match each linear system with one of the phase plane vector fields. 71 1. z' = y2 y' = 2:22 1 ? ? ? 2. z' = sin(my) y = 1x 3. z' = y = y2 Itt til ? 4. x' = ry y'=1+y? 7 А - - V111111TININ I II/1
**2 (1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) D$ 1.59 = [- 11111!IN IIIIII +1+ Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are
(1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a calculator or computer to estimate the roots of the polynomial which defines the eigenvalues. You also may want to view a phase plane plot (right click to open in a new window).]] 46 A -4 38 -5 smaller eigenvalue associated eigenvector = larger eigenvalue associated, eigenvector (1 point) Consider the system of differential equations dr dt 3x + 0.5y, dy 2.5x + y. dt For...
(1 point) Solve the initial value problem dx -H x(0) х, dt Give your solution in real form. x(t) Use the phase plotter pplane9.m in MATLAB to determine how the solution curves (trajectories) of the system x' = Ax behave. A. The solution curves race towards zero and then veer away towards infinity. (Saddle) B. All of the solution curves converge towards 0. (Stable node) C. All of the solution curves run away from 0. (Unstable node) D. The solution...
Problem 8. (1 point) 2. Find the most general es-valued solution to the inear system of diferential equations 7' = [-13]: x (1) C + C2 x2 (1) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of those Problem 9. 11 point) Match each linear system with one of the phase plane direction fields. (The blue lines are...
(1 point) a. Find the most general real-valued solution to the linear system of differential equations x -8 -10 x. xi(t) = C1 + C2 x2(t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of these ОООООО (1 point) Calculate the eigenvalues of this matrix: [Note-- you'll probably want to use a calculator or computer to estimate the...
Match each solution (in red) with its initial
value problem
Entering Answer (10 points) Note: You have only 5 attempts to solve this problem. Match each solution (in red) with its initial value problem. ? 1. ? 42. X = x-17-)«, x0 = (?) x= [ ]] x xo) = [] x=[7-) * xo = [2] x= [ { }] + x =[0] ? 3. x' = 1 ? 4. x' = A B с D
(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...
(1 point) Solve the initial value problem dx 1.5 2. -1.5 1,5) X, x(0) = (-3) dt -1 Give your solution in real form. 3e^(1/2) x(t) = -2e^(-1/2t) Use the phase plotter pplane9.m in MATLAB to determine how the solution curves (trajectories)of the system x' Ax behave. O A. The solution curves converge to different points. OB. The solution curves race towards zero and then veer away towards infinity (Saddle) C. All of the solution curves run away from 0....
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