Chapter 8.4, Problem 1QCE

Solve the first-order linear differential equation

$\frac{dy}{dx}+p(x)y=q(x)$

By completing the following steps:

Step 1. Calculate the integrating factor $\mu =\text{\_\_\_\_\_\_}\text{.}$

Step 2. Multiply both sides of the equation by the integrating factor and express the results as

$\frac{d}{dx}[\text{\_\_\_\_\_}]=\text{\_\_\_\_\_\_}\text{.}$

Step 3. Integrate both sides of the equation obtained in Step 2 and solve for $y=\text{\_\_\_\_\_\_\_}\text{.}$