The differential equation is .
All the coefficients are constants and the differential equation is of the form .
The auxiliary equation is .
The formula for the roots of the quadratic equation is
.
The roots of auxiliary equation is are
.
The roots of auxiliary equation are and .
If the roots of auxiliary equation are the complex numbers , , then the general solution of is .
The roots of auxiliary equation are and .
In this case .
The general solution of is .
The general solution is .
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