Consider the initial value problem 16 / (t) = Ay(t), 2(0) = 1 15 41 where A is a 2 x 2 matrix and y = Ly2 You are given

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Consider The Initial Value Problem 16 T Ay T 2 0 1 15 41 Where A Is A 2 X 2 Matrix And Y Ly2 You Are Given 1 (86.54 KiB) Viewed 31 times

Consider the initial value problem 16 / (t) = Ay(t), 2(0) = 1 15 41 where A is a 2 x 2 matrix and y = Ly2 You are given that the eigenvalues and eigenvectors of A are 11 = 3, y1 = -1 and 12 = 5, y2 () TT The solution of the initial value problem is y1 = 22 e5t - 6e3t 19e3t y2 = 4e5t O Y1 = 20e3t - 4e5t Y2 = 5e3t – 20e5t O Y1 = 20e5t – 463t y2 = 5e5t – 20e3t y1 = 22e3t – 6e5t y2 = 4e3t 19e5t