First Order Equations Quizzes, Questions & Answers

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9602 Difference Equation Identify First Order

In this quiz, we are trying to identify first order difference equations, and also spotting elements that stop a problem from being a first order difference equation. The two common forms for a first order difference equation...

Questions: 30 | Attempts: 305 | Last updated: Mar 20, 2025

Sample Question
Select the most accurate statement from the choices below.

This is a first order difference equation in common form

This is a first order difference equation that needs rearranging

This is not a first order difference equation at all

First-Order Differential Equations: Basics, Linear Forms & Applications

In this quiz, you’ll dive into the world of differential equations — from identifying their order and solving simple derivatives to working with integration, initial conditions, and exponential growth or decay....

Questions: 15 | Attempts: 15 | Last updated: Feb 3, 2026

Sample Question
What is the order of the differential equation x³(d²y/dx²) + 2(dy/dx) = y⁴ + sin(x)?

First order, because it contains dy/dx

Second order, because the highest derivative is d²y/dx²

Third order, because of the coefficient x³

Fourth order, because of the term y⁴

9607 Difference Equations Not First Order

This is a quick quiz to help hone your skills in identifying First Order Difference Equations. A first order difference equation in General Form will have the shape : or

Questions: 66 | Attempts: 248 | Last updated: Mar 22, 2025

Sample Question
Which statement best describes the image above :

This is a first order difference equation in general form

This is a first order difference equation, but not in general form

I'm not falling for that one - this isn't a first order DE at all!

Recent First Order Equations Quizzes

9604 Difference Equations Arithmetic

This quiz focuses on assessing understanding of Arithmetic First Order Difference Equations, a fundamental concept in algebra and discrete mathematics. It tests the ability to recognize and classify these equations, enhancing...

Questions: 36 | Attempts: 229 | Last updated: Mar 17, 2025

Sample Question
This is an Arithmetic First Order Difference Equation

True

False