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2. Suppose that 341(3)) and y2(x) are two solutions of y + P(:I:)y' + Q(x)y = 0 on the interval [a, b]. If y1(:c) and

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2. Suppose that 341(3)) and y2(x) are two solutions of y" + P(:I:)y' + Q(x)y = 0 on the interval [a, b]. If y1(:c) and y2(zc) have a common zero on [a, b], show one is a constant multiple of the other. [Assume there is an $0 6 [a, b] such that y1(:r0) = y2(x0) = 0 in your proof.]

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