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Consider the differential equation y" + 5y - 6y = 0. a) Show that S1 = {e*, e* – e-6x }is a fundamental set of solqtions. b) Show that S2

= {e*,3e* – e¯&* }is a fundamental set of solutions. c) Verify that $ (x) = e-6* is a solution. d) Show that o (x) is a linear combination of the elements of S. e) Show that (x) is a linear combination of the elements of S2.

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