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a friendly introduction to differential equations, kaabar [pdf]

A Friendly Introduction to Differential Equations by Mohammed K A Kaabar

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A Friendly Introduction to Differential Equations by Mohammed K A Kaabar . In this book, there are five chapters: The Laplace Transform, Systems of Homogenous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at Answers to Odd-Numbered Exercises section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II.
Mohammed K A Kaabar has a Bachelor of Science in Theoretical Mathematics from Washington State University, Pullman, WA. He is a graduate student in Applied Mathematics at Washington State University, Pullman, WA, and he is a math tutor at the Math Learning Center (MLC) at Washington State University, Pullman.

A Friendly Introduction to Differential Equations by Mohammed K A Kaabar cover the following topics.

• Introduction

• 1. The Laplace Transform
1.1 Introduction to Differential Equations
1.2 Introduction to the Laplace Transforms
1.3 Inverse Laplace Transforms
1.4 Initial Value Problems
1.5 Properties of Laplace Transforms
1.6 Systems of Linear Equations
1.7 Exercises

• 2. Systems of Homogeneous Linear Differential Equations (HLDE)
2.1 HLDE with Constant Coefficients
2.2 Method of Undetermined Coefficients
2.3 Exercises

• 3. Methods of First and Higher Orders Differential Equations
3.1 Variation Method
3.2 Cauchy-Euler Method
3.3 Exercises

• 4. Extended Methods of First and Higher Orders Differential Equations
4.1 Bernoulli Method
4.2 Separable Method
4.3 Exact Method
4.4 Reduced to Separable Method
4.5 Reduction of Order Method
4.6 Exercises

• 5. Applications of Differential Equations
5.1 Temperature Application
5.2 Growth and Decay Application
5.3 Water Tank Application

• Appendices
a Determinants
B Vector Spaces
C Homogenous Systems

Answers to Odd-Numbered Exercises
Index
Bibliography

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