NCERT 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 ... Differential equations A differential equation is an equation involving a function and its derivative (or derivatives). Our goal is to find the function, if one exists, that satisfies the given differential equation. For example, y = sin (x) is a solution to the ordinary differential equation, To show this, we can find the derivative of the solution, y' (x), and substitute it, as well as y (x), into the differential equation. Differentiating y = sin (x) yields y' = cos (x). Substituting ... Differential equations can be classified several different ways. Besides describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution.
