(a) To prove: M d x + N d y = 0 has an integrating factor that depends only on sum ( x + y ) if the expression ∂ N / ∂ x − ∂ M / ∂ y M − N depends on x + y .

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Chapter 2.5, Problem 16E

To determine

(a)

To prove:

Mdx+Ndy=0 has an integrating factor that depends only on sum (x+y) if the expression ∂N/∂x−∂M/∂yM−N depends on x+y.

To determine

(b)

The solution of the equation (3y+y+xy)dx+(3+x+xy)dy=0

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