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

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2. Consider the following ODE: y" 6y' + 9y = O. (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(l) = 2e3. (c) Solve the initial-value problem with Eq (2) and the initial condition: y(l) y'(l) = 5e3.

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