2. a) (7 pnts) Solve the second order homogeneous linear differential equation y" - y =...
solve them by clear hand write , thankyou 3. a) (7 pnts) Find all eigenvalues of the matrix A = 3 -5 3 16 -6 4 11 -3 3 b) (7 pnts) Find all eigenvectors of the matrix A = 13 -5 3 16 -6 4 -E 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 - 3x2 + 3x3 3x1 -...
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)...
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...
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...
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...
Find a second order homogeneous linear differential equation whose general equation is Atanx + Bsinx (A, B constant) [Hint use the fact that tanx and sinx are, individually, solutions and solve for the coefficients in standard form}
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...
A linear equation. Differentiate the first-order equation 1 (2- a2) (3.123) a2 linear, second-order differential equation with respect to c to derive Solve for the general solution to this ODE and show that it contains three arbitrary constants a Use equation (3.123) to eliminate one constant and rederive the catenary of equation y(x) a cosh A linear equation. Differentiate the first-order equation 1 (2- a2) (3.123) a2 linear, second-order differential equation with respect to c to derive Solve for the...
Find a second order homogeneous linear differential equation whose general solution is A tan x + B sin x (A, B constant). [Hint: Use the fact that tan x and sin x are, individually, solutions and solve for the coefficients in standard form.]