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Find $A$ and $k$, correct to 2 decimal places.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ obey the equation $y^2 = A e^{kx}$, where $A$ and $k$ are constants. The graph of $\ln y$ plotted against $x$ is a straight line, and it goes through the points $(1.5,\,1.2)$ and $(5.24,\,2.7)$, as shown in the diagram.