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Math Help - differential equation

  1. #1
    Newbie emterics90's Avatar
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    differential equation

    m_{t+h}-m_{t}=hm_t,

    so \frac{dm_t}{dt}=m_t

    I am told that you use differential equations to the get the differentiation above, but I don't see how. Can anybody see?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by emterics90
    m_{t+h}-m_{t}=hm_t,

    so \frac{dm_t}{dt}=m_t

    I am told that you use differential equations to the get the differentiation above, but I don't see how. Can anybody see?
    I will rewrite this as

    <br />
m(t+h)-m(t)=hm(t)<br />
,

    so:

    \frac{dm}{dt}=m(t)

    So you are looking for a function which is its own derivative, so
    something like:

    m(t)=Ae^t

    should do.

    RonL
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