Intro to Differential Equations

This is the first in a series of posts I plan on writing about Engineering Mathematics. It assumes prior knowledge of Calculus.

An equation that contains derivatives of one or more functions is called a differential equation. Consider the equation


The derivative of y with respect to x is:


Therefore, combining the equations above, we can say that:


This is called a differential equation. Now let’s modify our equation:


The derivative becomes: y'=2e^{2x}, so combining both equations, we can say that:


We can further modify our equation: y=e^{2x^2} so the derivative becomes: y'=4xe^{2x^2}. We can say that:


Over the next few lessons we will learn about how to identify and solve differential equations.

Leave a Reply

Your email address will not be published. Required fields are marked *