Question: Consider the following differential equation.y y6y = e3xWrite the given differential equation in the formL(y)= g(x),where L is a linear operator with constant coefficients. If

Consider the following differential equation.y y6y = e3xWrite the given differential equation in the formL(y)= g(x),where L is a linear operator with constant coefficients. If possible, factor L.(Use D for the differential operator.)(D3)(D+2)y = e3xFind a linear differential operator that annihilates the functiong(x)= e3x.(Use D for the differential operator.)D3Solve the given differential equation by undetermined coefficients.y(x)=

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