Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by

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Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution.

y dx + [y + tan (x + y)] dy = 0, cos (x + y)

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