(a) Solve the system y1 = 4y1 + y3 y2 = -2y1 + y2 y3 = -2y1...

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(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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