Question: Consider the differential equation y - y' 30y = 0. Verify that the functions e-5x and ex form a fundamental set of solutions of

Consider the differential equation y" - y' 30y = 0. Verify that

Consider the differential equation y" - y' 30y = 0. Verify that the functions e-5x and ex form a fundamental set of solutions of the differential equation on the interval (-00, 00). -5x The functions satisfy the differential equation and are linearly independent since the Wronskian we 5x , e6x): Form the general solution. y = #0 for -00 < x < .00.

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