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Math 4: Elementary Differential Equations (Dinh)

Math 4: Elementary Differential Equations (Dinh)

Last updated

Mar 13, 2025
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- Detailed Licensing
- Front Matter

Hung Dinh
Chabot College

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Front Matter
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1: Introduction
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2: First Order Equations
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In this chapter, we study first-order differential equations for which there are general methods of solution.
3: Applications of First Order Equations
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In this chapter, we consider applications of first order differential equations.
4: Linear Higher Order Differential Equations
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In this Chapter, we study a particularly important class of second order equations. Because of their many applications in science and engineering, second order differential equation have historically been the most thoroughly studied class of differential equations. Research on the theory of second order differential equations continues to the present day.
5: Applications of Linear Second Order Equations
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In this Chapter, we study applications of linear second order equations.
6: Laplace Transforms
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In this Chapter we study the method of Laplace transforms, which illustrates one of the basic problem solving techniques in mathematics: transform a difficult problem into an easier one, solve the latter, and then use its solution to obtain a solution of the original problem. The method discussed here transforms an initial value problem for a constant coefficient equation into an algebraic equation whose solution can then be used to solve the initial value problem.
7: Series Solutions of Linear Second Order Equations
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In this Chapter, we study a class of second order differential equations that occur in many applications, but cannot be solved in closed form in terms of elementary functions.
8: Linear Systems of Differential Equations
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In this Chapter we consider systems of differential equations involving more than one unknown function. Such systems arise in many physical applications.
9: Appendices
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Back Matter
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Thumbnail: Slope field with select solutions. (Public Domain; pbroks13 t via Wikipedia)

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