Solve the given differential equation by separation of variables: sin(3x)dx + 2ycos^3(3x)dy = 0

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Solve the given differential equation by separation of variables: sin(3x)dx + 2ycos^3(3x)dy = 0

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Textbook: A first course in differential equations
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I think you forgot to keep the 6 in the denominator in the final answer...

captaingary