Given below are two statements: Statement I: M dx + N dy = 0 is said to be an exact differential equation if it satisfies the condition ∂M ∂x = ∂N ∂y . Statement II: If M dx + N dy = 0 is not an exact differential equation and 1 N ( ∂M ∂y - ∂N ∂x ) = f(x), then the Integrating Factor (I.F.) is e ∫ f(x) dx . In the light of the above statements, choose the correct answer:

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Mathematics · Differential Equations

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

Statement I is false but Statement II is true

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Answer 1

Both Statement I and Statement II are true

Answer 2

Both Statement I and Statement II are false

Answer 3

Statement I is true but Statement II is false

Answer 4

Statement I is false but Statement II is true

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