Impulsive Sources and the Dirac Delta
Reference: Logan, A First Course in Differential Equations, 3rd ed., §3.4 "Impulsive Sources", pp. 164-176
Textbook Reference
| Primary source | Logan, A First Course in Differential Equations, 3rd ed., §3.4 “Impulsive Sources”, pp. 164-176 |
| Read this week | Week 9 of the quarter: pages 164 to 176 |
Bring your copy of Logan to this topic. The section and pages above are the exact reading for this skill.
Objectives
By the end of this section you should be able to:
- Describe the Dirac delta and its sifting property
- Compute the transform of an impulse and use it inside an equation
- Solve an equation with impulsive forcing by transforming, solving, and inverting
- Use the Heaviside step function to write the shifted solution
Prerequisite Check
Before this section, make sure you are comfortable with:
- Solving initial value problems with the Laplace transform
- The convolution property
- The Heaviside step function
Status
A guided stub. Below are the exact Logan reading with page numbers, the week it falls in the quarter, the learning targets, and what to review first. The full worked examples and the leveled practice set for this section are being written and will appear here.