In this section we study what differential equations are, how to verify their solutions, some methods that are used for solving them, and some examples of common and useful equations. Consider the equation y ′ = 3 x 2, which is an example of a differential equation because it includes a derivative. Learn what a differential equation is, how to classify it by order, degree and type, and how to solve it using different methods. Explore the real-world examples and applications of differential equations in physics, engineering, biology and more. In calculus, a differential equation is an equation that involves the derivative (derivatives) of the dependent variable with respect to the independent variable (variables). The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering. Course Format This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include: - "Lecture ...
