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Application of Differential Equation - Practice Questions & MCQ
Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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17 Questions around this concept.
Solve by difficulty
Let the population of rabbits surviving at a time t be governed by the differential equation
. If
equals:
Concepts Covered - 1
Application of Differential Equation
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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