Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Differential Equations

Catalog Description: Math 2120. Differential Equations. Credit 3.
Prerequisites: "C" or better in Math 2110 . First order equations, linear
equations of higher order, power series solutions, Laplace transforms, and other
topics. It is recommended, but not required, that students take Math 2010
before taking Math 2120.

Textbook:
Dennis G. Zill, Differential Equations with Boundary-Value Problems, seventh
Edition, Brooks/Cole, 2009.

Goals:
This course is designed to provide instruction in techniques used in solving
ordinary differential equations commomly encountered in mathematical
physics and engineering.

Prerequisites by Topic:

Calculus sequence including differential and integral calculus, analytic
geometry, exponential and logarithmic functions, infinite series, and partial
differentiation.

 Chapter 1 Introduction to Differential Equations 2 class periods

1.1 Basic Definitions and Terminology
1.2 Initial-Value Problems
1.3 Differential Equations as Mathematical Models

 Chapter 2 First Order Differential Equations 8 class periods

2.1 Solution Curves Without a Solution
2.2 Separable Variables
2.3 Linear Equations
2.4 Exact Equations
2.5 Solutions by Substitutions
2.6 A Numerical Method

 Chapter 4 Higher-Order Differential Equations 12 class periods

4.1 Preliminary Theory-Linear Equations
4.2 Reduction of Order
4.3 Homogeneous Linear Equations with Constant Coefficients
4.4 Undetermined Coefficients-Superposition Approach
4.6 Variation of Parameters
4.7 Cauchy-Euler Equations

 Chapter 7 The Laplace Transform 12 class periods

7.1 Definition of the Laplace Transform
7.2 Inverse Transforms and Transforms of Derivatives
7.3 Operational Properties I
7.4 Operational Properties II
7.5 The Dirac Delta Function [Optional]
7.6 System of Linear Differential Equations [Optional]

 Chapter 6 Series Solutions of Linear Equations 3 class periods