MAT 201 Study Guide - Dependent And Independent Variables
Document Summary
In this lecture, we"ll introduce you to differential equations, a fundamental concept in calculus. Differential equations are used to model real-world phenomena in fields such as physics, engineering, and economics. Understanding differential equations is crucial for solving problems in these fields and for gaining a deeper understanding of calculus. Differential equations are equations that involve derivatives. Types of differential equations include first-order, second-order, and higher-order differential equations. Solving first-order differential equations involves finding an equation for the dependent variable in terms of the independent variable and any parameters. Separable differential equations are a type of first-order differential equation where the variables can be separated on each side of the equation. Linear differential equations are a type of first-order differential equation where the dependent variable and its derivatives are linearly related. Understand the different types of differential equations. Practice solving first-order differential equations using separation of variables and linear differential equations. Know how to apply differential equations to real-world scenarios.
