Show that x 2 y + x y = y3/2is not exact. Solve this

Chapter 1, Problem 1.62

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Show that x 2 y + x y = y3/2is not exact. Solve this equation by finding an integrating factor of the form (x, y) = x a yb. Hint: Consider the differential equation x 2 y + x y = y3/2 and solve form a and b so that equations (1.6) are satisfied.

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