what is the application of differential equations??
Answers
A differential equation is an equation involving derivatives of an unknown function and possibly the function itself as well as the independent variables.
Unlike the elementary mathematics concepts of addition, subtraction, division, multiplication, percentage etc, which are used on a day to day basis, differential equations are not generally used/observed in our every day life.
Differential equations have a remarkable ability to predict the world around us. They are used in a wide variety of disciplines, from biology, economics, physics, chemistry and engineering. They can describe exponential growth and decay, the population growth of species or the change in investment return over time.
Having said that, I have compiled a list of applications of differential equations. I knew some of them and some of them were googled.
One of the most basic examples of differential equations is the Malthusian Law of population growth. dp/dt = rp shows how the population (p) changes with respect to time. The constant r will change depending on the species. Malthus used this law to predict how a species would grow over time.
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