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Year 12 Specialist (Unit 3 & 4) Rates of change and differential equations

Applications of differential equations

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Questions
Question 1
196879
A radioactive isotope decays so that the number of undecayed atoms \(N\) satisfies \(\dfrac{dN}{dt}=-kN\), where \(k>0\). Given \(N=N_0\) when \(t=0\), which is the solution?
\(N=N_0 e^{-kt}\)

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