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Q.

Using the principles of calculus, we can derive the integral form of the exponential growth equation as

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a

$N_{t} {= N}_{0} e^{rt}$

b

$\frac{dN}{dt} = rN [\frac{K-N}{K}]$

c

$\frac{dN}{dt} = rN [\frac{N-K}{N}]$

d

$N_{0} {= N}_{t} e^{rt}$

answer is B.

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Detailed Solution

Integral form of the exponential growth equation is N_t = N₀e^rt

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Using the principles of calculus, we can derive the integral form of the exponential growth equation as