[answered] 1= -10 v1 = (1,0,0) 2 = 0 v2 = (3,0,5) 3 = 0 v3 = (-3,10,0)

?1= -10 ? ?v1 = (1,0,0)

?2 = 0 ? ? v2 = (3,0,5)

?3 = 0 ? ? v3 = (-3,10,0)

a) For each of your eigenvalues ?i and associated eigenvector vi , verify that e?t?v is a solution to the vector form of the ODE: x' (t) = A(t)x(t).

b) Use the last question to write the general solution to the ODE: x' (t) = A(t)x(t)

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Sep 18, 2020

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