Question: Show that the differential is not exact, but that a constant m can be chosen so that is equal to dz, the exact differential of

Show that the differential

g(x, y) = (10x + 6xy + 6y)dx +(9x + 4xy + 15y) dy

is not exact, but that a constant m can be chosen so that

(2x + 3y)"g(x, y)

is equal to dz, the exact differential of a function z = f(x, y). Find f(x, y).

g(x, y) = (10x + 6xy + 6y)dx +(9x + 4xy + 15y) dy

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