Some Examples of Differential Equations Arising in Classical and Chemical Contexts

2 Some Examples of Differential Equations Arising in Classical and Chemical Contexts 

One of the principal motivations for the development of calculus by Newton and Leibnitz in the 18th century came from the need to solve physical problems. Examples of such problems include  

The description of a body falling under the influence of the force of gravity  

The motion of a pendulum, which is an example of simple harmonic motion, described by the equation  

If a body is falling in a viscous medium, then the body is under the influence of both gravity and the drag forces exerted by the medium. 

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