In this section, we will look at more advanced examples of the integrating factor method. These examples will demonstrate how the technique applies to a wider variety of differential equations, including those with more complex functions or integration techniques. Each example will follow the
four-step process outlined in the previous section.
The integrating factor method is a versatile tool for solving first-order linear differential equations. By reducing the equation to a form that allows for direct integration, we can tackle a wide variety of problems with confidence. The examples in this chapter illustrate the broad applicability of this technique, and practice with a range of equations will solidify your understanding of how to use it effectively.