solve them by clear hand write , thankyou
3.
solve them by clear hand write , thankyou 3. a) (7 pnts) Find all eigenvalues of...
Please solve them in clear hand write . Thankyyyoouu 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above differential equation so that the general solution to the homogeneous equation will become G cos x + cz sinx. c) (7 pnts) Solve the second order linear differential equation y" - y = 3e2x by using Variation of Parameters. 3. a)...
Please solve them clear . 1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above...
Please solve it clear . In clear hand write . Thankyoooou 1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain...
2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change the above differential equation so that the general solution to the homogeneous equation will become c cos x + C sinx. c) (7 pnts) Solve the second order linear differential equation y" - y = 3e2x by using Variation of Parameters. 5. a) (7 pnts) Determine the general solution to the system...
solve them by step , thank yooooooou 1. Consider the matrix A = [ 24 31. a) (7 pnts) Find the characteristic polynomial of A. b) (7 pnts) Compute the matrix B = A- 2A +812. c) (6 pnts) Can you describe how to find the inverse of A using characteristic equation? 2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y = 0. b) (6 pnts) Without any solving, explain how would you change...
3. a) (7 pnts) Find all eigenvalues of the matrix A = 10 LO -3 6 6 3 -2 -1 11-3 b) (7 pnts) Find all eigenvectors of the matrix A = 10 lo 6 - 1 3 -2 6 c) (6 pnts) What can you say about the solution of the following system of differential equations in relation to the matrix A? Please explain briefly. X1 = x1 - 3x2 + 3x3 X2 6x2 - 2xz X3 6X2 -...
Please clear hand write ,thank you ???? 5. a) (7 pnts) Determine the general solution to the system x' = Ax for the given matrix A = [2 81 b) (6 pnts) Write one unique solution, by assuming some values for the arbitrary coefficients. c) (7 pnts) Ast → 00, what could you say about the limit of the solutions of this system? 4. a) (7 pnts) Write the following system of linear equations in x' = Ax form. x...
Please clear hand write ,thank you ???? 5. a) (7 pnts) Determine the general solution to the system x' = Ax for the given matrix A = [2 81 b) (6 pnts) Write one unique solution, by assuming some values for the arbitrary coefficients. c) (7 pnts) Ast → 00, what could you say about the limit of the solutions of this system? 4. a) (7 pnts) Write the following system of linear equations in x' = Ax form. x...
Numbers 5-7 5. Solve the linear system and determine its solution space S. Is S a subspace of R”? Justify your answer. 3x1 + 6x3 + 3x4 + 9x5 = 0 X1 + 3x2 - 4x3 – 8x4 + 3x5 = 0 X1 – 6x2 + 14x3 + 19x4 + 3x5 = 0 6. Let S = {(2,0,7), (2, 4, 5), (2, -12, 13)}. If possible, write x = (2, 20, -3) as a linear combination of the vectors in...
#2 part a b and c please. please write solutions neatly 2. (27 points) Find the general solution of the associated homogeneous equation for each nonhomogeneous differential equation below. Then determine the form of a particular solution y, of the nonhomogeneous equation. Do not solve for the undetermined coefficients in y, (a) (10 points) y" - 9 - 22 y 3x2 (b) (10 points) y" - 4y' + 29y = 8r sin 3x 3 2. (c)points) Find a homogeneous linear...