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OpenStudy (anonymous):
If the functions y1 and y2 are linearly independent solutions of y'' +p(x)y' + q(x)y = 0, determine under what conditions (e.g. for which values of a1; b1; a2; b2) the functions y3 = a1y1 + a2y2 and y4 = b1y1 + b2y2 also form a linearly independent set of solutions.
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