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Practice variation 1 of 3

Differential equation — Sign of the right-hand side

Your question

For , which property must every solution graph have?

Never strictly decreasing on an interval where
Always oscillatory
Always has a vertical asymptote
Must decrease somewhere

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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