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(1 point) Solve the initial value problem dx -H x(0) х, dt Give your solution in...

(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 pplane

(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 curves converge to different points.
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Answer #1

Let A=( 4 ) Put (A-72) = 0 - 2 - 0 5 *=-3 for A=-34p =17 (2=0 Let 2=178=1 *v-{I for X=-3 now at [us 171 * )=-=[!] - Put 250 7as C=3 C = 4 from 0 L 34 ut-1) X(t)= / est ( 3+ 4t) ] Answer Arsweg L3t| 2+4t)

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