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 (-∞, ∞). The functions satisfy the differential equation and are linearly independent since the Wronskian w(e-5x, e6x) = Form the general solution. y = # 0 for -∞ < x < 00.

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