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Modeling Situations with Differential Equations

Abigail Young

Abigail Young

6 min read

Study Guide Overview

This study guide covers modeling situations with differential equations. It explains what differential equations are and how they represent relationships between a function and its rate of change. It focuses on direct and inverse proportionality and provides examples of how to write differential equations based on verbal descriptions. Finally, it demonstrates how to model real-world scenarios using differential equations, including finding the constant of proportionality.

Question 1 of 12

What does dydx\frac{dy}{dx} represent in the differential equation dydx=2x\frac{dy}{dx} = 2x?

The rate of change of xx with respect to yy

The derivative of xx with respect to yy

The rate of change of yy with respect to xx

The integral of yy with respect to xx