Homework Answers
Consider the following. x 12x - 13y y' = 13x - 12y, X(0) - (12, 13)...
Consider the following. x 12x - 13y y' = 13x - 12y, X(0) - (12, 13) (a) Find the general solution (xce), y(t) =( Determine whether there are periodic solutions. (If there are periodic solutions, enter the period. If not, enter NONE.) NONE X (b) Find the solution satisfying the given initial condition. (x(C), y(0)) (c) with the aid of a calculator or a CAS graph the solution in part (b) and indicate the direction in which the curve it...
4. (-/2 points) DETAILS Classify the critical point (0, 0) of the given linear system by...
4. (-/2 points) DETAILS Classify the critical point (0, 0) of the given linear system by computing the tracer and determinant A and using the figure. x - 4x + 3y y' - 2x - 7y A4 Stable spiral 12.44 Unstable spiral Stable node Unstable node 72-44 <0 Center Degenerate stable node Degenerate unstable node Saddle stable spiral degenerate stable node unstable spiral О О О О О О О saddle center stable node unstable node degenerate unstable node
Consider the following. x' = 6x − 10y y' = 10x − 6y, X(0) = (6, 10) (a) Find the general ...
Consider the following.
x'
=
6x − 10y
y'
=
10x − 6y, X(0) = (6, 10)
(a) Find the general solution.
(x(t), y(t)) =
Determine whether there are periodic solutions. (If there are
periodic solutions, enter the period. If not, enter NONE.)
(b) Find the solution satisfying the given initial condition.
(x(t), y(t)) =
(c) With the aid of a calculator or a CAS graph the solution in
part (b) and indicate the direction in which the curve is...
Consider the following differential equation system: x' = 16x + 8y y = -24x – 12y...
Consider the following differential equation system: x' = 16x + 8y y = -24x – 12y (a) Find the general solution. (b) Without a computer, sketch a phase diagram that shows four linear solution trajectories and that shows one solution trajectory in each of the four regions between the separatrices. (c) Determine the solution that satisfies x(0) = 1 and y(0) = 0. x(t) = yt) = (d) The point (0,0) is a ... Osaddle point stable node unstable node...
Consider the spring model x″−8x+2x3=0, x ″ − 8 x + 2 x 3 = 0...
Consider the spring model
x″−8x+2x3=0, x ″ − 8 x + 2 x 3 = 0 , we looked at in the previous
problem. Linearize the first-order system that you obtained there
at the third of the critical points you found. [x′y′]=A[xy] [ x ′ y
′ ] = A [ x y ] , where
Consider the spring model x"-8x2x30, we looked at in the previous problem. Linearize the first-order system that you obtained there at the third of...
Consider the plane autonomous system 4) 2 X'=AX with A (a) Find two linearly independent real solutions of the syst...
Consider the plane autonomous system 4) 2 X'=AX with A (a) Find two linearly independent real solutions of the system (b) Classify the stability (stable or unstable) and the type (center, node, saddle, or spiral) of the critical point (0,0). (c) Plot the phase portrait of the system containing a trajectory with direction as t-oo whose initial value is X(0) (0,6)7 and any other trajectory with direc- tion. (You do not need to draw solution curves explicitly.)
Consider the plane...
-5 2 1 a. Find the most general real-valued solution to the linear system of differential...
-5 2 1 a. Find the most general real-valued solution to the linear system of differential equations z' do o 0 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 O center point / ellipses spiral source spiral sink none of these
STRUGGLING WITH THESE TWO SETS ID APPREACIATE THE CORRECT ANSWERS THANKS Remaining time: 269.39 min (1...
STRUGGLING WITH THESE TWO SETS ID APPREACIATE THE CORRECT
ANSWERS THANKS
Remaining time: 269.39 min (1 point) -98 a. Find the most general real-valued solution to the linear system of differential equations ' = - :: xi () = C1 + C2 x2 (1) b. In the phase plane, this system is best described as a O source / unstable node sink / stable node O saddle O center point / ellipses O spiral source O spiral sink O none...
(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...
a Find the most general real-valued solution to the linear system of differential equations a' -3...
a Find the most general real-valued solution to the linear system of differential equations a' -3 -4 -3 21(t) + 22(t) b. In the phase plane, this system is best described as a O source / unstable node O sink/stable node O saddle center point / ellipses spiral source spiral sink none of these
Consider the following. x 12x - 13y y' = 13x - 12y, X(0) - (12, 13) (a) Find the general solution (xce), y(t) =( Determine whether there are periodic solutions. (If there are periodic solutions, enter the period. If not, enter NONE.) NONE X (b) Find the solution satisfying the given initial condition. (x(C), y(0)) (c) with the aid of a calculator or a CAS graph the solution in part (b) and indicate the direction in which the curve it...
4. (-/2 points) DETAILS Classify the critical point (0, 0) of the given linear system by computing the tracer and determinant A and using the figure. x - 4x + 3y y' - 2x - 7y A4 Stable spiral 12.44 Unstable spiral Stable node Unstable node 72-44 <0 Center Degenerate stable node Degenerate unstable node Saddle stable spiral degenerate stable node unstable spiral О О О О О О О saddle center stable node unstable node degenerate unstable node
Consider the following.
x'
=
6x − 10y
y'
=
10x − 6y, X(0) = (6, 10)
(a) Find the general solution.
(x(t), y(t)) =
Determine whether there are periodic solutions. (If there are
periodic solutions, enter the period. If not, enter NONE.)
(b) Find the solution satisfying the given initial condition.
(x(t), y(t)) =
(c) With the aid of a calculator or a CAS graph the solution in
part (b) and indicate the direction in which the curve is...
Consider the following differential equation system: x' = 16x + 8y y = -24x – 12y (a) Find the general solution. (b) Without a computer, sketch a phase diagram that shows four linear solution trajectories and that shows one solution trajectory in each of the four regions between the separatrices. (c) Determine the solution that satisfies x(0) = 1 and y(0) = 0. x(t) = yt) = (d) The point (0,0) is a ... Osaddle point stable node unstable node...
Consider the spring model
x″−8x+2x3=0, x ″ − 8 x + 2 x 3 = 0 , we looked at in the previous
problem. Linearize the first-order system that you obtained there
at the third of the critical points you found. [x′y′]=A[xy] [ x ′ y
′ ] = A [ x y ] , where
Consider the spring model x"-8x2x30, we looked at in the previous problem. Linearize the first-order system that you obtained there at the third of...
Consider the plane autonomous system 4) 2 X'=AX with A (a) Find two linearly independent real solutions of the system (b) Classify the stability (stable or unstable) and the type (center, node, saddle, or spiral) of the critical point (0,0). (c) Plot the phase portrait of the system containing a trajectory with direction as t-oo whose initial value is X(0) (0,6)7 and any other trajectory with direc- tion. (You do not need to draw solution curves explicitly.)
Consider the plane...
-5 2 1 a. Find the most general real-valued solution to the linear system of differential equations z' do o 0 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 O center point / ellipses spiral source spiral sink none of these
STRUGGLING WITH THESE TWO SETS ID APPREACIATE THE CORRECT
ANSWERS THANKS
Remaining time: 269.39 min (1 point) -98 a. Find the most general real-valued solution to the linear system of differential equations ' = - :: xi () = C1 + C2 x2 (1) b. In the phase plane, this system is best described as a O source / unstable node sink / stable node O saddle O center point / ellipses O spiral source O spiral sink O none...
(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...
a Find the most general real-valued solution to the linear system of differential equations a' -3 -4 -3 21(t) + 22(t) b. In the phase plane, this system is best described as a O source / unstable node O sink/stable node O saddle center point / ellipses spiral source spiral sink none of these
Most questions answered within 3 hours.
-
Discuss the pros and cons of collaborative software such
as SameTime. Does it increase productivity? What...
asked 49 seconds ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 2 minutes ago -
Buying your in-laws a gift because it’s expected is
due to the ____________ motive of gift-giving....
asked 3 minutes ago -
Calculate the expected value, the variance, and the standard
deviation of the given random variable X....
asked 46 minutes ago -
A hospital performs 100 surgeries per week. The probability that
complications after surgery occur is 10%....
asked 1 hour ago -
1 point) Given the significance level α=0.01 find the following:
(a) left-tailed z value z= (b)...
asked 45 minutes ago -
Assuming you are the head of the software development unit at
Cyber.Soft, explain and justify why...
asked 11 minutes ago -
Magnesium and nitrogen react in a combination reaction to
produce magnesium nitride. 3 Mg + N2...
asked 19 minutes ago -
Two electrons are initially at rest separated by a distance of
2nm. At time t=0, they...
asked 17 minutes ago -
A martial artist is practicing breaking 5 boards. He is able to
break aboard with probability...
asked 24 minutes ago -
The rate constant of a first-order reaction is 2.95 × 10−4 s−1
at 350.° C. If...
asked 27 minutes ago -
implement a class called PiggyBank that will be used to
represent a collection of coins. Functionality...
asked 18 minutes ago