In this lesson, the focus is on solving first-order linear ODEs and understanding steady-state and transient solutions. The first-order linear ODE is a common model that occurs frequently in various applications and can always be solved. The lecture includes examples of two such models: the conduction model and diffusion model, which are both represented by the same equation with different variables. By the end of the lesson, students will learn the importance of the first-order linear equation and the standard form for solving it.
Solving First-order Linear ODE's; Steady-state and Transient Solutions -- Lecture 3. Learn how to solve most differential equations.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
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