imo class 12 differential equations

The differential equation obtained from y=C/(x+1) is:

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The differential equation obtained from y=C/(x+1) is:

  • A. (x+1)dy/dx+y=0
  • B. (x+1)dy/dx−y=0
  • C. dy/dx=y
  • D. dy/dx=x+1

Answer: A) (x+1)dy/dx+y=0

Explanation: Differentiating gives dy/dx=−C/(x+1)²=−y/(x+1).

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