P5: nts) Assume that f is a function such that fæy and fy exist and are continuous. Assume additionally that f(tx, ty) = t™ f(x, y). for all numbers x, y, and t. Show that x202f ?x2 8² f əxəy 20² f дуг Hint: Differentiate twice with respect to t. Then take t = 1. + 2xy- +y²5 - m(m − 1)f(x, y)

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