Consider the following differential equation.. y" - y' 30y = e6x Write the given differential equation in the form L(y) = g(x), where L is a linear operator with constant coefficients. If possible, factor L. (Use D for the differential operator.) =e6x Find a linear differential operator that annihilates the function g(x) = ex. (Use D for the differential operator.) Solve the given differential equation by undetermined coefficients. y(x) =

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