Find the Integrating Factor of the Differential Equation $\left( - 14 y ^ { 3 } + 2 \right) d x + \left( 21 x y ^ { 2 } + 7 x ^ { 3 } \right) d y = 0$

question 44

Multiple Choice

Find the integrating factor of the differential equation $\left( - 14 y ^ { 3 } + 2 \right) d x + \left( 21 x y ^ { 2 } + 7 x ^ { 3 } \right) d y = 0$ that is a function of $x$ or $y$ alone.

• A) \(- \frac { 21 } { x }\)
• B) \(- \frac { 3 } { x }\)
• C) \(\frac { 1 } { x ^ { 21 } }\)
• D) \(\frac { 1 } { x ^ { 3 } }\)
• E) \(\frac { 1 } { x ^ { 14 } }\)

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