imo class 12 differential equations

If a curve satisfies the equation dy/dx = y/x, then the curve is a:

VAVidaara Admin Asked 6d ago 0 views 0 answers
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If a curve satisfies the equation dy/dx = y/x, then the curve is a:

  • A. Parabola
  • B. Circle
  • C. Straight line passing through the origin
  • D. Hyperbola

Answer: C) Straight line passing through the origin

Explanation: Separating variables: dy/y = dx/x. Integrating gives log y = log x + log c → y = cx. This represents a straight line passing through the origin.

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