Problem

(a) Show that y1 = x3 and y2 = |x3| are linearly independent solutions on the real line of...

(a) Show that y1 = x3 and y2 = |x3| are linearly independent solutions on the real line of the equation x2y″ − 3xy′ + 3y = 0.


(b) Verify that W (y1, y2) is identically zero. Why do these facts not contradict Theorem 3?

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