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Application of Differential Equation - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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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

\frac{dp\left ( t \right )}{dt}= \frac{1}{2}p\left ( t \right )-200 . If  p\left ( 0 \right )= 100,then\: p\left ( t \right ) 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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Application of Differential Equation

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