Solution: Find the differential equations of the family of lines passing through the origin

Find the differential equations of the family of lines passing through the origin. How to find the differential equations of the family of lines passing through the origin?

Find the differential equations of the family of lines passing through the origin.

Problem Statement: CE Board May 1997

Find the differential equations of the family of lines passing through the origin.

  • A. y dx – x dy = 0
  • B. x dy – y dx = 0
  • C. x dx + y dy = 0
  • D. y dx + x dy = 0

Problem Answer:

The differential equations of the family of lines is xdy – ydx = 0

Solution:

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