Question: 2. Consider the set of linear, homogeneous, constant-coefficient, first-order coupled ODEs: y1(t)=-1.75y1 (t)-0.75y2(t)+1.25y3(t) y2 (t) = - y1(t) - 2y2(t)+ y3(t) y3 (t) = -

2. Consider the set of linear, homogeneous, constant-coefficient, first-order coupled ODEs:

2. Consider the set of linear, homogeneous, constant-coefficient, first-order coupled ODEs: y1(t)=-1.75y1 (t)-0.75y2(t)+1.25y3(t) y2 (t) = - y1(t) - 2y2(t)+ y3(t) y3 (t) = - 0.75y1 (t) - 0.75y2 (t) + 0.25y 3(t) Notate the vector of functions y (t)-| > (t) |. At timet -0.> (0) = . Solve for y(t). Hint: The eigenvalues of A are 21 = -0.5, 22 =-1, 23 = -2, so you do not need to solve for the eigenvalues yourself

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