Homework Answers
![Similarly to find eigen vector for da = -6 let [A-d, 1] V =0 =) Go .:))-(0) V - V2 .. V= (0 for V₂ = 6. Thus homogeneous solu](http://img.homeworklib.com/questions/b28ff9d0-596b-11ec-bf81-6bb8f681ac7a.png?x-oss-process=image/resize,w_560)
Please feel free to ask
any query in the comment box and don't forget to rate if you
like
Add Answer to:
3. A coupled system of differential equations is expressed in matrix form. Using the matrices technique,...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Consider the system of two coupled differential equations: y-cx + dy, x-ax + by, with the equilibrium solution (xe,ye) = (0,0) (a) Rewrite the coupled system as a matrix differential equation and ide...
Consider the system of two coupled differential equations: y-cx + dy, x-ax + by, with the equilibrium solution (xe,ye) = (0,0) (a) Rewrite the coupled system as a matrix differential equation and identify the matrix A. Obtain a general solution to the matrix differential equation in terms of eigenvectors and eigenvalues of A. Justify your answer (b) Classify possible types and stability of the equilibrium with dependence on the eigenvalues of A. (Note: You are not asked to compute the...
Consider the following non-homogeneous system of differential equations. a. Write the system in matrix form. b....
Consider the following non-homogeneous system of differential
equations.
a. Write the system in matrix form.
b. Find the homogeneous solution.
c. Find the particular solution.
d. Write down the general solution.
We were unable to transcribe this imageWe were unable to transcribe this image
NOTE: I need the correct answer with every single details The two coupled differential equations: *1...
NOTE: I need the correct answer with every single
details
The two coupled differential equations: *1 + 5x1 - 2x2 = 2e-t 32 - 2x1 + 2x2 = 0 Are subjected to initial conditions: x1(0) = 0 , x2(0) = 0 ,*1(0) = 0 ,*2(0) = 0 a) Find the laplace transform of the system and solve for X1(s) and X2(s). (2 points). b) Use MATLAB to find the inverse laplace transform. (2 points). c) Plot the solution from part...
Find the solution set of the system of linear equations represented by the augmented matrix. (If...
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set X3 = t and solve for X1 and X2 in terms of t.) 2 1-1 o] 1 -1 1 0 0 12 3
Express the system of differential equations in matrix notation x – 4x + y - (cos...
Express the system of differential equations in matrix notation x – 4x + y - (cos t)x = 0 y"+y" - t?x' + 3y'+e-2x = 0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? OA. Xi =X, X2 = X". X3 = y, Xa =y" O B. *= x, X2 = x', *3 = y, X4 =y', X5 =y" OC. *1 =...
The augmented matrix is given for a system of equations. If the system is consistent find...
The augmented matrix is given for a system of equations. If the system is consistent find the general solution. Otherwise state that there is no solution. 1062 01- 29 0 0 0 0 X12 - 6x3 02-9 + 2x3 *3 is free X1 - 2 - 6x3 x2 is free *3- ŹŹ x2 No solution *1 = 2 - 6x3 0x292x3 X30
Find the general solution to the system of linear differential equations X'=AX. The independent variable is...
Find the general solution to the system of linear differential equations X'=AX. The independent variable is t. The eigenvalues and the corresponding eigenvectors are provided for you. x1' = 12x1 - 8x2 x2 = -4X1 + 8x2 The eigenvalues are 11 = 16 and 12 = 4 . The corresponding eigenvectors are: K1 = K2= Step 1. Find the nonsingular matrix P that diagonalizes A, and find the diagonal matrix D: p = 11 Step 2. Find the general solution...
The augmented matrix is given for a system of equations. If the system is consistent, find...
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [1 2 -3 51 701 4.5 0000] A) x1 = 15+ 11x3 x2 = -5- 4x3 x3 is free C) x1 = 5 - 2x2 + 3x3 x2 = -5- 4x3 X3 is free B) x1 = 5 - 2x2 + 3x3 x2 is free x3 is free D) x1 = 15+ 11x3 x2...
The matrix given is in reduced echelon form 1 0 0 0 1 0-5 0 0...
The matrix given is in reduced echelon form 1 0 0 0 1 0-5 0 0 1 7 C 0 0 0 0 6. Write the system of equations represented by the matrix. (Use x as your variable and label each x with its corresponding column. Enter x_1 for x1, x_2 for x2, x_3 for x3, and x_4 for x4.) = 0 row 1 = 0 row 2 row 3 row 4 0 there is no solution, enter NO SOLUTION.)...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Consider the system of two coupled differential equations: y-cx + dy, x-ax + by, with the equilibrium solution (xe,ye) = (0,0) (a) Rewrite the coupled system as a matrix differential equation and identify the matrix A. Obtain a general solution to the matrix differential equation in terms of eigenvectors and eigenvalues of A. Justify your answer (b) Classify possible types and stability of the equilibrium with dependence on the eigenvalues of A. (Note: You are not asked to compute the...
Consider the following non-homogeneous system of differential
equations.
a. Write the system in matrix form.
b. Find the homogeneous solution.
c. Find the particular solution.
d. Write down the general solution.
We were unable to transcribe this imageWe were unable to transcribe this image
NOTE: I need the correct answer with every single
details
The two coupled differential equations: *1 + 5x1 - 2x2 = 2e-t 32 - 2x1 + 2x2 = 0 Are subjected to initial conditions: x1(0) = 0 , x2(0) = 0 ,*1(0) = 0 ,*2(0) = 0 a) Find the laplace transform of the system and solve for X1(s) and X2(s). (2 points). b) Use MATLAB to find the inverse laplace transform. (2 points). c) Plot the solution from part...
Find the solution set of the system of linear equations represented by the augmented matrix. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, set X3 = t and solve for X1 and X2 in terms of t.) 2 1-1 o] 1 -1 1 0 0 12 3
Express the system of differential equations in matrix notation x – 4x + y - (cos t)x = 0 y"+y" - t?x' + 3y'+e-2x = 0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? OA. Xi =X, X2 = X". X3 = y, Xa =y" O B. *= x, X2 = x', *3 = y, X4 =y', X5 =y" OC. *1 =...
The augmented matrix is given for a system of equations. If the system is consistent find the general solution. Otherwise state that there is no solution. 1062 01- 29 0 0 0 0 X12 - 6x3 02-9 + 2x3 *3 is free X1 - 2 - 6x3 x2 is free *3- ŹŹ x2 No solution *1 = 2 - 6x3 0x292x3 X30
Find the general solution to the system of linear differential equations X'=AX. The independent variable is t. The eigenvalues and the corresponding eigenvectors are provided for you. x1' = 12x1 - 8x2 x2 = -4X1 + 8x2 The eigenvalues are 11 = 16 and 12 = 4 . The corresponding eigenvectors are: K1 = K2= Step 1. Find the nonsingular matrix P that diagonalizes A, and find the diagonal matrix D: p = 11 Step 2. Find the general solution...
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. [1 2 -3 51 701 4.5 0000] A) x1 = 15+ 11x3 x2 = -5- 4x3 x3 is free C) x1 = 5 - 2x2 + 3x3 x2 = -5- 4x3 X3 is free B) x1 = 5 - 2x2 + 3x3 x2 is free x3 is free D) x1 = 15+ 11x3 x2...
The matrix given is in reduced echelon form 1 0 0 0 1 0-5 0 0 1 7 C 0 0 0 0 6. Write the system of equations represented by the matrix. (Use x as your variable and label each x with its corresponding column. Enter x_1 for x1, x_2 for x2, x_3 for x3, and x_4 for x4.) = 0 row 1 = 0 row 2 row 3 row 4 0 there is no solution, enter NO SOLUTION.)...
Most questions answered within 3 hours.
-
Dealing with conflict, in my opinion, is a skill and an art. I
believe that those...
asked 7 minutes ago -
6. A long straight wire with circular cross section and radius
1.5 cm carries a 1.2...
asked 11 minutes ago -
Deacon Corporation has provided the following financial data
from its balance sheet and income statement:
Year...
asked 1 hour ago -
List and discuss at least three variables from everyday life for
which you expect the variable ...
asked 1 hour ago -
A high-pass filter consists of a 1.60 μF capacitor in series
with a 125 Ω resistor....
asked 1 hour ago -
A newly developed artificial intelligence has trouble
distinguishing hand-written numbers from hand-written alphabets.
There are pictures...
asked 1 hour ago -
The carbonate ion CO3 2- has multiple resonance structures.
a. Draw them and assign the hybridization...
asked 1 hour ago -
In doing an allocation for a basket purchase
Use the individual costs and the total market...
asked 1 hour ago -
what were the social political and economic causes and impacts of
the late 19th century urban...
asked 1 hour ago -
if the magnitude of a velocity vector is 10m/s and it
makes an angle of 45...
asked 1 hour ago -
Which amino acid has a basic R group?
A) tyrosine
B) Isoleucine
C) Glutamic Acid
D)...
asked 1 hour ago -
Is there the need for the government to have hackers. Please
share your thoughts.
asked 1 hour ago