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7) Charete 14: Given that y = ex is a solution, solve the differential equation y' - 6y + 1ly' - 6y = 0 by

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7) Charete 14: Given that y = ex is a solution, solve the differential equation y'" - 6y" + 1ly' - 6y = 0 by using Euler's procedure of factoring the characteristic polynomial p3 - 6p2 + 11p - 6 = 0 or1 - -p+p2 -=p3 =0. Each linear factor 1 - ap corresponds to solution y = Aex/a

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