! Consider the nonhomogeneous DE: y" + y' - 6y = (12 – 16x)e*. A) Verify that y, = 4xe* is a particular solution of the DE. B) Find the general solution of the given DE, if e2x and e-3x are both solutions of y" + y – 6y = 0. -

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A: Option (a) is correct.   See the solution in the attachment.

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