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

question 17

Multiple Choice

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

• A) \(\frac { 1 } { x ^ { - 3 } }\)
• B) \(- \frac { 3 } { x }\)
• C) \(- \frac { 2 } { x }\)
• D) \(\frac { 1 } { x ^ { - 4 } }\)
• E) \(\frac { 1 } { x ^ { 3 } }\)