Assume that y1 and y2 are a fundamental set of solutions

Chapter 3, Problem 21

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Assume that y1 and y2 are a fundamental set of solutions of y+ p(t)y+ q(t)y = 0 and lety3 = a1y1 + a2y2 and y4 = b1y1 + b2y2, where a1, a2,b1, and b2 are any constants. Show thatW(y3, y4) = (a1b2 a2b1)W(y1, y2).Are y3 and y4 also a fundamental set of solutions? Why or why not?

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