** 23.T First-order linear ODEs:
Separable, linear, applications**

** Reference: ** Stewart 15.1, 15.2

** Keywords:** Separable ODE, first-order linear ODE, integrating factor

** Learning Objectives: ** The student will be able to:

- Recognize separable differential equations
- Solve separable differential equations
- Set up and solve initial value problems with separable equations for some simple applications
- Recognize first-order linear equations
- Solve first-order homogeneous linear equations
- Solve first-order nonhomogeneous linear equations by first obtaining an ``integrating factor''
- Solve some simple applications of first-order linear equations, including examples leading to exponential growth and decay

** 23.R EXAM 5**