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Solve the ODE

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Use words to describe the solution process. Typeset solutions.

Work is to be done without the aid of a calculator or computer. Show all steps. For example, if you integrate by parts, show all the steps of integration. If you use an integral table, state that as well.

Find the solution to
y''' + 2y'' + y' = 0
satisfying y(0) = 2, y'(0) = 0 and y''(0) = -1

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An ODE is solved. The solution is detailed and well presented. The solution received a rating of "5" from the student who posted the question.

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