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