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Suppose p and q are continuous on open interval I, and y=y1 + iy2 is a complex-valued function and a solution of y" + p(t)y' + q(t)y = 0, where y1 and y2 are real-valued functions. Show that y1 and y2 are also solutions of y" + p(t)y' + q(t) =0.
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