VIT - VITEEE 2025
ApplyNational level exam conducted by VIT University, Vellore | Ranked #11 by NIRF for Engg. | NAAC A++ Accredited | Last Date to Apply: 31st March | NO Further Extensions!
17 Questions around this concept.
Let the population of rabbits surviving at a time t be governed by the differential equation
. If
equals:
Differential equations are used in a variety of disciplines, such as biology, economics, physics, chemistry, and engineering.
Growth and Decay Problem:
Let the amount of substance (or population) that is either growing or decaying be denoted by N(t). if we assume the time rate of change of this amount of substance, dN / dt, is proportional to the amount of substance present, then
$\frac{d N}{d t}=k N \quad$ or $\quad \frac{d N}{d t}-k N=0$
Where k is the constant of proportionality. We are assuming that N(t) is a differentiable, hence continuous, function of time.
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