1 point) Solve the system 5 -1 dx lc dt 2 with x (0) = Give your solution in real form. An ellipse with clockwise orientation 1. Describe the trajectory. 1 point) Solve the system 5 -1 dx lc dt 2 with x (0) = Give your solution in real form. An ellipse with clockwise orientation 1. Describe the trajectory.
(1 point) Solve the system -3 -3 dx = х dt :: 1:) with x(0) = Give your solution in real form. Xi = X2 = An ellipse with counterclockwise orientation 1. Describe the trajectory.
(1 point) Solve the system 4 -2 dx II dt 10 -4 -3 with x(0) = -2 Give your solution in real form. Xı = -3cos(21)+(27sin(2t))/5 x2 = -2cos(2t)-11 sin(2t) An ellipse with counterclockwise orientation 1. Describe the trajectory.
(1 point) Solve the system da dt AC 6 3 -2 with (0) -3 Give your solution in real form. T1 1. Describe An ellipse with clockwise orientation the trajectory
(1 point) Solve the system 6 -2 dc dt 20 -6 C -3 with r(0) = -2 Give your solution in real form. 21 = 3cos(21)+8sin(2t) C2= 1. Describe the An ellipse with counterclockwise orientation trajectory
Solve the system. (1 pt) Solve the system with x(0) = Give your solution in real form. Xi = 1. Describe the trajectory An ellipse with clockwise orientation
dx/dt= -2 -5 5 -2 x(0)= 2 4 Solve the system dx/dt = [-2 -5; 5 -2]x with x(0) = [2 4]. NOTE: *Give Solutions in real form x1=_____ and x2=________
At least one of the answers above is NOT correct. (1 point) Solve the system -6 -2 dc dt T 20 6 -3 with c(0) T: 1 Give your solution in real form. x1 = e^(t)-3cos (2t)- 10 sin(2t)) X2 = e^(1)(-33sin(2t)+cos(2t)) An ellipse with counterclockwise orientation 1. Describe the trajectory
(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) Solve the initial value problem dx -H x(0) х, dt Give your solution in real form. x(t) Use the phase plotter pplane9.m in MATLAB to determine how the solution curves (trajectories) of the system x' = Ax behave. A. The solution curves race towards zero and then veer away towards infinity. (Saddle) B. All of the solution curves converge towards 0. (Stable node) C. All of the solution curves run away from 0. (Unstable node) D. The solution...