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Practice variation 3 of 3

Differential equation — Reject a decreasing sketch

Your question

A proposed solution graph of falls from to as increases. This is

  1. impossible, because on
  2. possible near an equilibrium
  3. required by uniqueness
  4. possible if is negative

This practice question was inspired by Question 10 in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

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