Homework Answers
Add Answer to:
(3 points) Given the system 1. -2 0 2i and for the eigenvalue λ-2, the vector V-(1) is an eigenvector. we know that...
plesse show work 11. For the system dr 1 1 -3 -5 31 Y , initial...
plesse show work
11. For the system dr 1 1 -3 -5 31 Y , initial condition Y, - (4,0) Write the solution and sketch the x(i) and y(1) graphs of the particular solution If the eigenvalues are of the form a + ib, b0 then determine if the origin is a spiral sink, a spiral source, or a center determine the natural period and natural frequency of of the oscillations determine the directions of the oscillations in the phase...
1. (20 marks) This question is about the system of differential equations Y. dt=(k 1 (a) Consider the case k = 0. i...
1. (20 marks) This question is about the system of differential equations Y. dt=(k 1 (a) Consider the case k = 0. i. Determine the type of equilibrium at (0,0) (e.g., sink, spiral source). ii. Write down the general solution. iii. Sketch a phase portrait for the system. (b) Now consider the case k3 In this case, the matrix has an eigenvalue 2+V/2 with eigenvector i. -1+iv2 and an eigenvalue 2 iv2 with eigenvector . Determine the type of equilibrium...
2 Y, Y(t) 2 dY 5. For the system dt - 2. a) Write the general...
2 Y, Y(t) 2 dY 5. For the system dt - 2. a) Write the general solution. b) State if the origin is a spiral sink, or a source, or a center. c) Write the natural period and the natural frequency of the solutions. d) Do the solutions go clockwise or anti clockwise around the origin? (0) e) Write the particular solution that corresponds to ly(0) =
1. (20 marks) This question is about the system of differential equations dY (3 1 (a) Consider the case k 0 i. Dete...
1. (20 marks) This question is about the system of differential equations dY (3 1 (a) Consider the case k 0 i. Determine the type of equilibrium at (0,0) (e.g., sink, spiral source). i. Write down the general solution. ili Sketch a phase portrait for the system. (b) Now consider the case k -3. (-1+iv ) i. In this case, the matrix has an eigenvalue 2+i/2 with eigenvector and an eigenvalue 2-W2 with eigenvector Determine the type of equilibrium at...
Problem 3. For the following system, (a) compute the eigenvalues, (b) compute the associated eigenvectors, (c) if the eigenvalues are complex, determine if the origin is a spiral sink, a spiral s...
Problem 3. For the following system, (a) compute the eigenvalues, (b) compute the associated eigenvectors, (c) if the eigenvalues are complex, determine if the origin is a spiral sink, a spiral source, or a center; determine the natural period and natural frequency of the oscillations, and determine the direction of the oscillations in the phase plane, (d) sketch the phase portrait for the system; and (e) compute the general solution. ar dY (1 -3 dt Y,
Problem 3. For the...
Problem 2. For the following system, (a) compute the eigenvalues, (b) compute the associated eigenvectors, (c)...
Problem 2. For the following system, (a) compute the eigenvalues, (b) compute the associated eigenvectors, (c) if the eigenvalues are complex, determine if the origin is a spiral sink, a spiral source, or a center; determine the natural period and natural frequency of the oscillations, and determine the direction of the oscillations in the phase plane, (d) sketch the phase portrait for the system; and (e) compute the general solution dY (1 -2
For the system: a. Write the general solution b. State if the origin is a spiral...
For the system:
a. Write the general solution
b. State if the origin is a spiral sink, source, or center and
explain why.
c. Write the natural period and natural frequency of the
solutions.
d. Do the solutions go clockwise or anticlockwise around the
origin? Explain your reasoning.
e. Write the particular solution that corresponds to
Please write clearly and explain your steps. Thank you! Do not
just copy someone else's answer.
1 point) Consider the initial value problem 0 -2 a. Find the eigenvalue λ, an eigenvector...
1 point) Consider the initial value problem 0 -2 a. Find the eigenvalue λ, an eigenvector UI, and a generalized eigenvector v2 for the coefficient matrix of this linear system. v2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. c. Solve the original initial value problem. n(t)- 2(t)
(1 point) 2. Find the most general real-valued solution to the linear system of diferential equations...
(1 point) 2. Find the most general real-valued solution to the linear system of diferential equations 7' = [4 4]z. x1 (1) -2iexp(-4t)exp(-21" 2i*exp(-4t)exp(21*t = C1 + C2 x2 (1) exp(-4t)exp(-21) exp(-4t)exp(2i*t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses O spiral source O spiral sink
(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...
plesse show work
11. For the system dr 1 1 -3 -5 31 Y , initial condition Y, - (4,0) Write the solution and sketch the x(i) and y(1) graphs of the particular solution If the eigenvalues are of the form a + ib, b0 then determine if the origin is a spiral sink, a spiral source, or a center determine the natural period and natural frequency of of the oscillations determine the directions of the oscillations in the phase...
1. (20 marks) This question is about the system of differential equations Y. dt=(k 1 (a) Consider the case k = 0. i. Determine the type of equilibrium at (0,0) (e.g., sink, spiral source). ii. Write down the general solution. iii. Sketch a phase portrait for the system. (b) Now consider the case k3 In this case, the matrix has an eigenvalue 2+V/2 with eigenvector i. -1+iv2 and an eigenvalue 2 iv2 with eigenvector . Determine the type of equilibrium...
2 Y, Y(t) 2 dY 5. For the system dt - 2. a) Write the general solution. b) State if the origin is a spiral sink, or a source, or a center. c) Write the natural period and the natural frequency of the solutions. d) Do the solutions go clockwise or anti clockwise around the origin? (0) e) Write the particular solution that corresponds to ly(0) =
1. (20 marks) This question is about the system of differential equations dY (3 1 (a) Consider the case k 0 i. Determine the type of equilibrium at (0,0) (e.g., sink, spiral source). i. Write down the general solution. ili Sketch a phase portrait for the system. (b) Now consider the case k -3. (-1+iv ) i. In this case, the matrix has an eigenvalue 2+i/2 with eigenvector and an eigenvalue 2-W2 with eigenvector Determine the type of equilibrium at...
Problem 3. For the following system, (a) compute the eigenvalues, (b) compute the associated eigenvectors, (c) if the eigenvalues are complex, determine if the origin is a spiral sink, a spiral source, or a center; determine the natural period and natural frequency of the oscillations, and determine the direction of the oscillations in the phase plane, (d) sketch the phase portrait for the system; and (e) compute the general solution. ar dY (1 -3 dt Y,
Problem 3. For the...
Problem 2. For the following system, (a) compute the eigenvalues, (b) compute the associated eigenvectors, (c) if the eigenvalues are complex, determine if the origin is a spiral sink, a spiral source, or a center; determine the natural period and natural frequency of the oscillations, and determine the direction of the oscillations in the phase plane, (d) sketch the phase portrait for the system; and (e) compute the general solution dY (1 -2
For the system:
a. Write the general solution
b. State if the origin is a spiral sink, source, or center and
explain why.
c. Write the natural period and natural frequency of the
solutions.
d. Do the solutions go clockwise or anticlockwise around the
origin? Explain your reasoning.
e. Write the particular solution that corresponds to
Please write clearly and explain your steps. Thank you! Do not
just copy someone else's answer.
1 point) Consider the initial value problem 0 -2 a. Find the eigenvalue λ, an eigenvector UI, and a generalized eigenvector v2 for the coefficient matrix of this linear system. v2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. c. Solve the original initial value problem. n(t)- 2(t)
(1 point) 2. Find the most general real-valued solution to the linear system of diferential equations 7' = [4 4]z. x1 (1) -2iexp(-4t)exp(-21" 2i*exp(-4t)exp(21*t = C1 + C2 x2 (1) exp(-4t)exp(-21) exp(-4t)exp(2i*t) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses O spiral source O spiral sink
(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...
Most questions answered within 3 hours.
-
According to a recent national Gallup Poll of U.S. smartphone
user, 35% upgrade their cell phone...
asked 1 minute ago -
Suppose researchers perform a large-sample test of a population
proportion where the null hypothesis is that...
asked 33 seconds ago -
Jessica is single and has taxable income of $305,000 of which
$130,000 is attributable to her...
asked 5 minutes ago -
Can someone help me fill in the first part of this c++ code:
I need it...
asked 7 minutes ago -
A reaction vessel at 27 ∘C contains a mixture of SO2(P=3.10 atm
) and O2(P=1.00 atm...
asked 27 minutes ago -
A scientist randomly mutates the DNA of a bacterium. She then
sequences the bacterium’s daughter cells,...
asked 38 minutes ago -
2. Content theories attempt to explain work behaviors based on
__________.
a. the relationship between values...
asked 30 minutes ago -
Discuss the impact of technology on Medieval society and culture
and the impact of society and...
asked 27 minutes ago -
Assignment 3: Introduction & Environmental Analysis,
SWOT, Marketing Objectives (Goals) Marketing 4100
Directions
Total Point Value:...
asked 19 minutes ago -
Forecasts and actual sales of MP3 players at Just Say
Music are as follows:
Month
Forecast...
asked 20 minutes ago -
function predictKNN which computes the KNN prediction for given
input xi, K and train data.
A...
asked 32 minutes ago -
A 3.15-g bullet embeds itself in a 1.17-kg block, which is
attached to a spring of...
asked 46 minutes ago