(a) Show that y1 D x3 and y2 D x3 are linearly independent

Chapter , Problem 30

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(a) Show that y1 D x3 and y2 D x3 are linearly independent solutions on the real line of the equation x2y00 3xy0 C 3y D 0. (b) Verify that W .y1; y2/ is identically zero. Why do these facts not contradict Theorem 3?

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