dN-dt-N-t-N-t-

Question Number 7728 by FilupSmith last updated on 13/Sep/16

\frac{d N}{d t} = N^{t}

N (t) = ?

Commented by sou1618 last updated on 13/Sep/16

N (t) = \int N^{t} d t

= \int e^{t l n N} d t

u = t l n N

d u = l n N d t

= \frac{1}{l n N} \int e^{u} d u

= \frac{1}{l n N} e^{t l n N}

= \frac{1}{l n N} N^{t}

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