imo class 12 differential equations

Find the integrating factor of y dx − (x + 2y²) dy = 0.

VAVidaara Admin Asked 6d ago 0 views 0 answers
#IMO#Class 12#Mathematics#Differential Equations#achievers

Find the integrating factor of y dx − (x + 2y²) dy = 0.

  • A. y
  • B. 1/y
  • C. y²
  • D. 1/y²

Answer: B) 1/y

Explanation: Divide by y dy: dx/dy − x/y = 2y. This is a linear DE of the form dx/dy + Px = Q with P = −1/y. IF = e^(∫(−1/y)dy) = e^(−log y) = 1/y.

0 Answers

Log in to post your own answer or join the discussion.

Discussion (0)

No comments yet — start the discussion.

← Back to all questions