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Math Help - Finding constant

  1. #1
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    Finding constant

    Suppose that P is a function which satisfies P'(t)=rP(t) for some constant r and P(t+11)=4P(t)


    Find r.


    How do i start this?
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  2. #2
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    Quote Originally Posted by Velvet Love View Post
    Suppose that P is a function which satisfies P'(t)=rP(t) for some constant r and P(t+11)=4P(t)


    Find r.


    How do i start this?
    I would start by integrating: dP/dt= rP(t) separates into dP/P= r dt.
    Integrate both sides of that. Notice that P(t+11)= 4P(t) for all t. Take t= 0 to get an equation that will let you find r.
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  3. #3
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    But wouldn't that mean r = 0?
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