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

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