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Math Help - Half-life

  1. #1
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    Half-life

    An isotope has a half-life of 65 min. If the decay is modeled by the differential equation dy/dt = -ky, where t is measured in minutes, what is the decay constant k?


    Can someone explain this to me? What I have to do, and why?
    Greatly appreciated!
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  2. #2
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    stgo
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    \frac{dy}{dt}=y'=-ky \Rightarrow \frac{y'}{y}=-k

    Then, you can integrate both sides respect to time, and use the given condition to determinate the constants.
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