Homework Answers
Eigenvalues are given by
Smaller eigenvalue is : -11
Larger eigenvalue is: -4
eigenvectors are given by
t=-11
t=-4
General solution is
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Please show all work. TIA
3 points -5 3 7 Consider the initital value problem -...
(1 point) 12 -9 2 Consider the initial value problem X, X(0) = 4 0 2...
(1 point) 12 -9 2 Consider the initial value problem X, X(0) = 4 0 2 The eigenvalue is 11 = 12 = A corresponding eigenvector is K= 2 and a solution of (A - 111)P = K is given by P= :] The general solution can be written as ---( : )--( . )-(:). --[-DEL The solution of the Initial Value Problem is teht
please show all steps , thank you 6. Consider the initial value problem y" + 2y'...
please show all steps , thank you
6. Consider the initial value problem y" + 2y' + 2y = (t – 7); y(0) = 0, y'(0) = 1. a. Find the solution to the initial value problem. (10 points) b. Sketch a plot of the solution for t E (0,37]. (5 points) c. Describe the behavior of the solution. How is this system damped? (5 points)
please show all work Directions: Show all work. No credit can be given without proper justification....
please show all work
Directions: Show all work. No credit can be given without proper justification. 1. Solve the initial value problem (a) (3 points) " - 9x = 82(t); (0) = x'(0) = 0 (b) (3 points) " + 16x = 8(t) + cos(t); (0) = x'(0) = 0
Please show all work and answer all parts of the question. Please do not repost the question and ...
Please show all work and answer all parts of the question.
Please do not repost the question and if you do please at least
include the actual code and not the written answer that is
incorrect to other posts.
Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given...
(1 point) Consider the initial value problem 7=[8_5]: x0=(-3) Find the eigenvalue 1, an eigenvector vi,...
(1 point) Consider the initial value problem 7=[8_5]: x0=(-3) Find the eigenvalue 1, an eigenvector vi, and a generalized eigenvector v2 for the coefficient matrix of this linear system. a = vi = help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. F(t) = 61 IHO + C2 help (formulas) help (matrices) Solve the original initial value problem. xu(t) = help (formulas) x2...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equation...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
(4 points) This problem is concerned with solving an initial boundary value problem for the heat ...
(4 points) This problem is concerned with solving an initial boundary value problem for the heat equation: u,(x, t)- uxx(x,), 0
please help !!!! 10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a) Show that v = | 1 | and w = 1-2) are eigenvectors of A. b) Identify the defective eigenvalu...
please help !!!!
10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a) Show that v = | 1 | and w = 1-2) are eigenvectors of A. b) Identify the defective eigenvalue of A, and find a corresponding generalized eigenvector Ax c) Write out the general solution of x
10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a)...
Please show all work 3] By the Laplace transform, find the solution of the following initial...
Please show all work
3] By the Laplace transform, find the solution of the following initial value problem (0) 0, "(0)1 Hint: Compute (s +1)3.
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) sol...
just problem number 4 please!
thank you!
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) solve the initial v stability of the critical point at (0,0) 1. alue problem, and (b) determine the type and x' =-4x1 + 5x2 X2,--5x1 + 4x2 x1(0) -16, x2(0) 25. x'= 6x1 + x2 x1(0) 6, X2(0) = 4 2. xi(12345e) 55, X2(12345e)--729 3 xi-43x Xi(-101) = 9, x2(-101) 5 4 x' = 2x1-x2 x2,=...
(1 point) 12 -9 2 Consider the initial value problem X, X(0) = 4 0 2 The eigenvalue is 11 = 12 = A corresponding eigenvector is K= 2 and a solution of (A - 111)P = K is given by P= :] The general solution can be written as ---( : )--( . )-(:). --[-DEL The solution of the Initial Value Problem is teht
please show all steps , thank you
6. Consider the initial value problem y" + 2y' + 2y = (t – 7); y(0) = 0, y'(0) = 1. a. Find the solution to the initial value problem. (10 points) b. Sketch a plot of the solution for t E (0,37]. (5 points) c. Describe the behavior of the solution. How is this system damped? (5 points)
please show all work
Directions: Show all work. No credit can be given without proper justification. 1. Solve the initial value problem (a) (3 points) " - 9x = 82(t); (0) = x'(0) = 0 (b) (3 points) " + 16x = 8(t) + cos(t); (0) = x'(0) = 0
Please show all work and answer all parts of the question.
Please do not repost the question and if you do please at least
include the actual code and not the written answer that is
incorrect to other posts.
Consider the initial boundary value problem (IBVP) for the 1-D wave equation on a finite domain: y(0,t) 0, t > 0 t > 0 y(1,0) f(x) where f(x) =-sin ( 2 π-π (a) Plot the initial condition f(x) on the given...
(1 point) Consider the initial value problem 7=[8_5]: x0=(-3) Find the eigenvalue 1, an eigenvector vi, and a generalized eigenvector v2 for the coefficient matrix of this linear system. a = vi = help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. F(t) = 61 IHO + C2 help (formulas) help (matrices) Solve the original initial value problem. xu(t) = help (formulas) x2...
1. (10 points, part I) Consider the following initial boundary value problem lU (la) (1b) (1c) 0L, t> 0 3 cos ( a(x, 0) (a) Classify the partial differential equation (1a) (b) What do the equations (la)-(1c) model? (Hint: Give an interpretation for the PDE, boundary conditions and intial condition.) c) Use the method of separation of variables to separate the above problem into two sub- problems (one that depends on space and the other only on time) (d) What...
(4 points) This problem is concerned with solving an initial boundary value problem for the heat equation: u,(x, t)- uxx(x,), 0
please help !!!!
10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a) Show that v = | 1 | and w = 1-2) are eigenvectors of A. b) Identify the defective eigenvalue of A, and find a corresponding generalized eigenvector Ax c) Write out the general solution of x
10. 20 points Consider the homogeneous system x' Ax, where 4 0 0 A 1 0 2 02 3 a)...
Please show all work
3] By the Laplace transform, find the solution of the following initial value problem (0) 0, "(0)1 Hint: Compute (s +1)3.
just problem number 4 please!
thank you!
There are ten problems totaling 10 points. Show all your work! 1-4 For each system below, (a) solve the initial v stability of the critical point at (0,0) 1. alue problem, and (b) determine the type and x' =-4x1 + 5x2 X2,--5x1 + 4x2 x1(0) -16, x2(0) 25. x'= 6x1 + x2 x1(0) 6, X2(0) = 4 2. xi(12345e) 55, X2(12345e)--729 3 xi-43x Xi(-101) = 9, x2(-101) 5 4 x' = 2x1-x2 x2,=...
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