olymmath

Putnam 1952 A2

  • Session A
  1. Show that the equation (9−x2)(dydx)2=(9−y2)\left(9-x^{2}\right)\left(\frac{d y}{d x}\right)^{2}=\left(9-y^{2}\right) characterizes a family of conics touching the four sides of a fixed square.

Dataset text PutnamGAP. Quoted with source.

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