(a) Show that y = Ae2x + Be-³x, where A and B are constants, is the general solution of the differential equation y"+y'-
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(a) Show that y = Ae2x + Be-³x, where A and B are constants, is the general solution of the differential equation y"+y'-
(a) Show that y = Ae2x + Be-³x, where A and B are constants, is the general solution of the differential equation y"+y'-6y=0. Hence, find the solution when |y(1) = 2e² - e³ and y(0) = 1. (5 marks)
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