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2. Consider the following ODE: y - 6y' + 9y = 0. (2) (a) Write down and solve the characteristic equation of the ODE. Then

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2. Consider the following ODE: y" - 6y' + 9y = 0. (2) (a) Write down and solve the characteristic equation of the ODE. Then find the gen- eral solution to the ODE. (b) Solve the boundary-value problem with Eq (2) and the boundary condition: y(0) = -1, y(1) = 2e3. (c) Solve the initial-value problem with Eq (2) and the initial condition: y(1) = e3, y' (1) = 5e3

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