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Write the DE for a stated rate of change

This type of question, asked 2 times: 18 Apr 2026 S2, 15 May 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    18 Apr 2026 S2

    86
    A spherical raindrop evaporates at a rate proportional to its surface area. The differential equation involving the rate of change of its radius rr with time 't' is …\ldots (where kk is a positive constant)

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  2. Question 2

    15 May 2026 S2

    88
    For a certain substance, the rate of change of vapor pressure PP with respect to temperature TT is directly proportional to the vapor pressure PP, and inversely proportional to the square of the temperature TT. The representation of this statement in the form of a differential equation is: (where kk is a constant of proportionality)

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