Explanation Given: The equations are M d x + N d y = 0 and μ M d x + μ N d y = 0 . Consider the differential equation in the form of M d x + N d y = 0 . The above equation is said to be exact equation if ∂ M ∂ y = ∂ N ∂ x otherwise the suitable integrating factor is multiplied to make it exact. Let the integrating factor be μ

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Differential Equations

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Chapter 2.4, Problem 40E

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Whether the equation Mdx+Ndy=0 and μMdx+μNdy=0 are equivalent such that a solution of one is also the solution of the other or not.

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Chapter 2.4, Problem 39E

Chapter 2.4, Problem 41E

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Whether the equation M d x + N d y = 0 and μ M d x + μ N d y = 0 are equivalent such that a solution of one is also the solution of the other or not.

Solution Summary: The author explains that the equations Mdx+Ndy=0 and mu

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Whether the equation Mdx+Ndy=0 and μMdx+μNdy=0 are equivalent such that a solution of one is also the solution of the other or not.

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