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Find an equation f(D)y = 0 where f(D) is a polynomial of degree 4 in D...

Find an equation f(D)y = 0 where f(D) is a polynomial of degree 4 in D such that y = e^(−x)xcos(x) is a solution. What is the general solution to the constructed equation f(D)y = 0?

As before, it is better to leave f(D) in factored form. Using our fast formulas, verify that f(D)y = 0 for the given y and your f(D). Be sure to note the appropriate numbered formulas used.

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