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Find the Integrating Factor of the Differential Equation (14y3+2)dx+(21xy2+7x3)dy=0\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 (14y3+2) dx+(21xy2+7x3) dy=0\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 xx or yy alone.


A) 21x- \frac { 21 } { x }
B) 3x- \frac { 3 } { x }
C) 1x21\frac { 1 } { x ^ { 21 } }
D) 1x3\frac { 1 } { x ^ { 3 } }
E) 1x14\frac { 1 } { x ^ { 14 } }

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