Method of Indeterminate Coefficients

This lecture covers the method of solving differential equations using the method of indeterminate coefficients, focusing on finding the general solution for equations of the form y'(x) = go(x)y(x) + f(x). The instructor explains how to find the particular solution and the general solution for various examples, including equations involving trigonometric functions. The lecture also introduces the concept of variation of parameters for solving non-homogeneous linear differential equations. Examples are provided to illustrate the application of the method in finding solutions to differential equations with different types of functions.