Consider the initial value problem y' (t) = Ay(t), y(0) 21 17 Y1 where A is a 2 x 2 matrix and y= You are given that the

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Consider The Initial Value Problem Y T Ay T Y 0 21 17 Y1 Where A Is A 2 X 2 Matrix And Y You Are Given That The 1 (44.76 KiB) Viewed 39 times

Consider the initial value problem y' (t) = Ay(t), y(0) 21 17 Y1 where A is a 2 x 2 matrix and y= You are given that the eigenvalues and eigenvectors of A are Ly2 3 11 =3, y1 and 12 = 5, ? Y2 = et 0 ] -4 The solution of the initial value problem is Y1 = = 6e5t + 15e3t Y2 = -8e5t +25e3t y1 = 6e3t +15e5t Y2 = -8e3+ + 25e5t 8e3t Y1 = O + 13e5t y2 = -9e3t +26e5t O y1 = 8e5t +13e3t y2 = -9e5t +26e3t