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) = (-∞,∞) * #0 for -∞ < x <∞. Form the general solution. -5x y = C₁e + С₂e6x

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