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One of the integrating factor of the differential equation

(y2 – 3xy)dx + (x2 – xy)dy = 0 is 

  • a)
    1 / (x2 y2

  • b)
    1 / (xy2

  • c)
    1 / -2x2

  • d)
    1/(xy)

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
One of the integrating factor of the differential equation(y2 – ...
(y2 – 3xy)dx + (x2 – xy) dy = 0;

M = y2 – 3xy, N = x2 – xy

Here differential equation is homogeneous, then

Mx + Ny = xy2 – 3x2y + x2y – xy2 = – 2x2y ≠ 0

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Most Upvoted Answer
One of the integrating factor of the differential equation(y2 – ...
There seems to be a typo in the question. The differential equation is not complete. It is missing the right-hand side of the equation. Please provide the full equation so that I can assist you further.
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One of the integrating factor of the differential equation(y2 – 3xy)dx + (x2 – xy)dy = 0 isa)1 / (x2 y2)b)1 / (xy2)c)1 / -2x2 yd)1/(xy)Correct answer is option 'C'. Can you explain this answer?
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