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Marlow Works

AP Calculus AB / Unit 7

Unit 7 · 5–10%

Differential Equations

A differential equation says how a quantity changes. A solution is a function that keeps that promise.

Start first lessonUnit practice

Topics

  • Slope fields
  • Particular solutions and initial conditions
  • Separation of variables
  • Exponential models

Lessons

Key terms

Original practice

Marlow Works questions. If this unit does not have its own items yet, you will see other questions from the same course.

1 of 3Limits and Continuity · easy · multiple choice

What is lim (x→3) of (x² − 9) / (x − 3)?

Original Marlow Works item — not a College Board question.

Take your time—this is practice, not a test.

Review checklist

  1. 01Sketch or read a slope field before solving algebraically when both are offered.
  2. 02Separate variables only when the equation permits it.
  3. 03Apply the initial condition after you have the general antiderivative, including the constant.

Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

  • Official / link only

    AP Calculus AB course page

    Official eight-unit framework and 2027 exam updates.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Reference only — do not copy

    OpenStax College Algebra 2e

    Algebra reference; current terms include noncommercial and AI-ingestion limits.

    OpenStax · Restricted — see publisher page · accessed 2026-10-01

    Open source