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Notes covering Sections 1.1, 1.2, 2.1, 2.2 from textbook (An Introduction to Differential Equations and their Applications by Stanley J. Farlow). Includes basic theory and general concepts, ODEs (1st order/separable/classifications/etc), IVPs, integrating factors, etc.
Chapter 3 material on Linear 2nd Order ODE's. Includes 3.1 (homogeneous linear 2nd order ODE's, principle of superposition, existence-and-uniqueness theorem and examples) and 3.2 (fundamental solutions of homogeneous equations, linear dependence and independence functions and examples).
Includes 3.4 2nd Order Linear Homogeneous ODE with Constant Coefficients, characteristic equation, the 3 cases of quadratic equations, examples with IVPs, Euler's Formula, superposition principle -- lots of examples.
Inclues 3.4-3.5 summary, 3.6 Nonhomogeneous Equations (Linear), Superposition Principle for Nonhomogeneous Equations, 3.7 Method of Undetermined Coefficients and examples.
Includes summaries of main concepts and methods from sections that will be covered on exam 1 (1.1, 1.2, 2.2, 2.1, 3.1-3.6). Each section summary is about a page long. Also includes a guide to identifying types of ODE's and extra study tips at the end. This guide should not replace your studying, it is merely a study aid - PRACTICE PRACTICE PRACTICE! Good Luck!