imo class 12 differential equations

The homogeneous differential equation dy/dx = (x+y)/(x−y) can be solved by substitution:

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The homogeneous differential equation dy/dx = (x+y)/(x−y) can be solved by substitution:

  • A. y=vx
  • B. y=v+x
  • C. x=vy+y
  • D. y=v²x

Answer: A) y=vx

Explanation: For homogeneous equations use y=vx.

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