---
title: "DE.AR.2: First-Order Differential Equations (Georgia Mathematics standard)"
code: DE.AR.2
cite_as: Georgia Standards of Excellence, Mathematics, DE.AR.2
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/DE.AR.2
md_url: https://georgiahomeroom.org/standards/code/DE.AR.2.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/DE.AR.2.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.2: First-Order Differential Equations

Solve contextual, mathematical problems involving first-order differential equations to explain real-life phenomena.

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

## Expectations

- Solve and use first order differential equations.
  - **DE.AR.2.1**: Classify differential equations by order and linearity.
  - **DE.AR.2.2**: Solve separable differential equations for general solutions and initial value problems.
  - **DE.AR.2.3**: Solve first-order linear differential equations and initial value problems using integrating factors.
  - **DE.AR.2.4**: Use modeling or numerical methods to approximate solutions of first-order differential equations in context.
  - **DE.AR.2.5**: Draw direction fields containing solutions curves for first-order differential equations by hand and using modeling.
  - **DE.AR.2.6**: Solve first-order linear differential equations that apply to various real-world models including falling bodies, mixtures, population and the logistic equation, continuously compounded interest, and other physics applications.

## 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.