Question: (a) Solve the system y1 = 4y1 + y3 y2 = -2y1 + y2 y3 = -2y1 + y3 (b) Find the solution that satisfies

(a) Solve the system
y′1 = 4y1 + y3
y′2 = -2y1 + y2
y′3 = -2y1 + y3
(b) Find the solution that satisfies the initial conditions y1(0) = -1, y2(0) = 1, y3(0) = 0.

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a The system is of the form y Ay where The eigenvalues of A are 1 2 and 3 and the corresponding eige... View full answer

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