Differential equations are sometimes solved by having a clever idea. Here is a little

Chapter 2, Problem 43

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Differential equations are sometimes solved by having a clever idea. Here is a little exercise in cleverness: Although the differential equation (x ) dx y dy 0 is not exact, show how the rearrangement (x dx y dy) dx and the observation d(x2 y2 ) x dx y dy can lead to a solution. 44

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