(1 point) Consider the initial value problem dx [2 -5 dt 15 2 (a) Find the...
(1 point) Consider the Initial Value Problem -5 dx dt X x(0) (a) Find the eigenvalues and eigenvectors for the coefficient matrix A = and 2 -- 1 333 (b) Find the solution to the initial value problem. Give your solution in real form Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory Spiral, spiraling inward in the counterclockwise direction 1. Describe the trajectory
(1 point) Consider the Initial Value Problem xi(0) 6 = 10xi-4x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. ,V2- and 12 (b) Solve the initial value problem. Give your solution in real form x1F X2= (1 point) Consider the Initial Value Problem xi(0) 6 = 10xi-4x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. ,V2- and 12 (b) Solve the initial value problem. Give your solution in real form x1F X2=
(1 point) Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient matrix. di = , and 12 = (b) Solve the initial value problem. Give your solution in real form. X(t) = Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientatio 1. Describe the trajectory.
(1 point) Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 11 = -3i .. , , and 12 = -3i , 01 (b) Solve the initial value problem. Give your solution in real form. X(t) = Use the phase plotter pplane9.m in MATLAB to answer the following question. An ellipse with clockwise orientation 41. Describe the trajectory.
(1 point) Consider the initial value problem -51เซี. -4 มี(0) 0 -5 a Find the eigenvalue λ, an eigenvector ul and a generalized eigenvector u2 for the coefficient matrix of this linear system -5 u2 = b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers c2 c. Solve the original initial value problem m(t) = 2(t)- (1 point) Consider the initial value problem -51เซี. -4 มี(0)...
Section 7.6 Complex Eigenvalues: Problem 5 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem date [10 ] x x(0) = [2] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. X = * , ū = (b) Solve the initial value problem. Give your solution in real form. x(t) = Use the phase plotter pplane9.m in MATLAB to answer the following question An ellipse with clockwise orientation 1. Describe the trajectory
7.6(3) (1 point) Consider the Initial Value Problem -L* 4)*, x0=[!] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 1 ,01 = , and 12 = (b) Find the solution to the initial value problem. Give your solution in real form. x(t) = Use the phase plotter pplane9.m in MATLAB to help you describe the trajectory An ellipse with clockwise orientation 1. Describe the trajectory.
(1 point) Consider the Initial Value Problem 7-177] -[1] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. Find the solution to the initial value problem. Give your solution in real form. Use the phase plotter pplanom in MATLAB to help you describe the trajectory An ellipse with clockwise orientation • 1. Describe the trajectory.
Consider the following system. dx dt dy dt 5 x + 4y 2 3 =X - 3y 4 Find the eigenvalues of the coefficient matrix Alt). (Enter your answers as a comma-separated list.) Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K K₂ = Find the general solution of the given system. (x(t), y(t)) =
Problem 5. (1 point) Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. 1 = . and 12 = V2 = b. Find the real-valued solution to the initial value problem = -3y - 2y, 5y + 3y2 (0) = -11, y (0) = 15. Usef as the independent variable in your answers. y (t) = (1) =