Question: Consider the linear differential equation y' + 5y + 3y' - 9y = 0. (a) Write the equation in the form L[y] = 0 for

Consider the linear differential equation y'" + 5y" + 3y' - 9y = 0.
(a) Write the equation in the form L[y] = 0 for a differential operator L = p(D).
(b) Find a basis for kerL, and then write out the general solution to the differential equation.

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