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The method of variation of parameters is a powerful technique used in differential equations to find a particular solution to non-homogeneous linear differential equations. This method is particularly useful when the non-homogeneous term in the differential equation cannot be factored or has no obvious form. The method of variation of parameters involves finding a particular solution to the differential equation by assuming a general form for the solution and then finding the unknown coefficients by solving a system of equations.
Determine the solution to the given differential equation.
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