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1983 A Level H2 Math Paper 1 Question 7
Two variables $x$ and $t$ are connected by the differential equation $\frac{\text{d}x}{\text{d}t}=\frac{kx}{10-x}$, where $0<x<10$ where $k$ is a constant. It is given that $x=1$ when $t=0$ and that $x=2$ when $t=1$. Find the value of $t$ when $x=5$, giving your answer to three significant figures.
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