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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. Learn how to form, solve and classify differential equations of various types with examples and solutions. This PDF document covers topics such as variable separable method, homogeneous equations, linear equations, and applications of differential equations. Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. 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 ...
