Algebra Overview: Differential Equations

Vocabulary flashcards covering the basic definitions, forms, and solutions of differential equations as presented in the lecture notes.

Differential equations

Equations that involve functions and their derivatives.

Basic form of a differential equation

$$\frac{dy}{dx} = f(x, y)$$

Solution to $\frac{dy}{dx} = 3x$

$$y = \frac{3x^{2}}{2} + C$$

Exponential form of a differential equation

$$y' = y$$

Solution to $y' = y$

$$y = Ce^{x}$$

Constant C

A constant included in the solution of differential equations.

Growth and decay models

Applications that commonly use differential equations to describe change over time.