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Find the General Solution of the Differential Equation : 2d²y/dt² + 5dy/dt + 2y = 0

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Please find the general solution of the differential equation below. It needs to be converted to standard format (s² + bs + c = 0), the roots found, and then plugged into the appropriate general formula that satisfies whether b² + 4c is less than, greater than, or equal to zero.
Please show all details in the solution. Thank you

2d²y/dt² + 5dy/dt + 2y = 0

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