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I was wondering how one might be able to use differential equations when two opposite things are happening at the same time. For example, you have a sample of 1000 radioactive particles. The number of atoms (A) doubles every two hours. At the same time, 10 particles disappear every hour.

I initially thought I could get a DE involving the integrating factor, but I can't seem to get my head around the logic of the problem. Does anyone know how I could go about approaching this problem?

Thanks

I initially thought I could get a DE involving the integrating factor, but I can't seem to get my head around the logic of the problem. Does anyone know how I could go about approaching this problem?

Thanks

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