Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ obey the equation $ky = e^{cx}$, with $k$ and $c$ as constants. The plot of $ y$ against $x$ is a straight line that goes through the points $(2.80, 0.372)$ and $(5.10, 2.21)$, as the diagram shows.
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Determine the values of $k$ and $c$. Round each value to $2$ significant figures.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or indicate $ k+ y=cx$ (or an equivalent rearrangement)

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