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Find the solution of the given initial value problem. y(4) + 2y''' + y'' + 8y'...

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Advance Math

Find the solution of the given initial value problem.

y(4) + 2y''' + y'' + 8y' − 12y = 12 sin t −e−t;    y(0) =7,    y'(0) = 0,    y''(0)= −1,    y'''(0) = 2

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