---
title: "DE.AR.5: Laplace Transform Applications (Georgia Mathematics standard)"
code: DE.AR.5
cite_as: Georgia Standards of Excellence, Mathematics, DE.AR.5
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/DE.AR.5
md_url: https://georgiahomeroom.org/standards/code/DE.AR.5.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/DE.AR.5.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# DE.AR.5: Laplace Transform Applications

Solve contextual, mathematical problems using Laplace transforms to explain real-life phenomena.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **DE.AR.5.1**: Use the integral definition to perform Laplace transforms for functions.
- **DE.AR.5.2**: Use a Laplace table to accurately and efficiently identify Laplace transforms.
- **DE.AR.5.3**: Perform inverse Laplace transforms using a variety of techniques.
- **DE.AR.5.4**: Solve first- and second-order differential equations using Laplace transforms that apply to fields such as electrical and mechanical engineering.
- **DE.AR.5.5**: Write piecewise functions as compositions of step (Heaviside) functions.
- **DE.AR.5.6**: Find the general uniqueness and existence of solutions for step functions, and use Laplace transforms to find solutions to step functions.
- **DE.AR.5.7**: Find the Laplace transform of the Dirac delta function.
- **DE.AR.5.8**: Solve linear systems of differential equations using Laplace transforms

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.