imo class 12 differential equations

The differential equation obtained by eliminating C from x²+y²=C is:

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The differential equation obtained by eliminating C from x²+y²=C is:

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

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

Explanation: Differentiating gives 2x+2y(dy/dx)=0.

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