🔵21a - Method of Undetermined Coefficients 1 - G(x) = Constant: 2nd Order Non - Homogeneous D.E

In this lesson we shall learn how to solve the general solution of a 2nd order linear non-homgeneous differential equation. Given a non-homogeneous differential equation: ay'' + by' + cy = G(x), where G(x) is not zero. The general solution is given by: y = yc + yp. To find the general solution, you first need to treat the given D.E as a homogeneous D.E, and solve its general solution - that becomes the general solution called the complementary function, yc. For the yp, the particular integral, is obtained using the method of undetermined coefficients. 00:00 - Introduction 04:37 - Example 1 10:30 - Example 2 Playlists on various Course 1. Applied Electricity    • APPLIED ELECTRICITY   2. Linear Algebra / Math 151    • LINEAR ALGEBRA   3. Basic Mechanics    • BASIC MECHANICS / STATICS   4. Calculus with Analysis / Calculus 1 / Math 152    • CALCULUS WITH ANALYSIS / CALCULUS 1 / MATH...   5. Differential Equations / Math 251    • DIFFERENTIAL EQUATIONS   6. Electric Circuit Theory / Circuit Design    • ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN   Make sure to watch till the end. Like, share, and subscribe. Thank you.