Consider the initial value problem dxdt=[2512]x,x(0)=[47] (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 1= equation editorEquation Editor , v 1= equation editorEquation Editor equation editorEquation Editor , and 2= equation editorEquation Editor , v 2= equation editorEquation Editor equation editorEquation Editor (b) Solve the initial value problem. Give your solution in real form. x(t)= equation editorEquation Editor equation editorEquation Editor . Use the phase plotter pplane9.m in MATLAB to answer the following question. 1. Describe the trajectory.

(1 point) Consider the initial value problem helt [3 ]x x0 = [1] (a) Find the eigenvalues and eigenvectors for the coefficient matrix 11 = (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. (1 point) Consider the initial value problem helt [3 ]x x0 = [1] (a) Find the eigenvalues and eigenvectors for the coefficient matrix 11 = (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