← Start with the original worked guide: Question 12(a)

Practice variation 1 of 3

Differential equation — Through a node on y'=x

Your question

On the direction field for , sketch the solution through . Describe the curve.

Direction field for $\dfrac{dy}{dx}=x$ with the initial point $P(0,1)$. — Direction field for with the initial point .

This practice question was inspired by Question 12(a) in the 2021 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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