December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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3.1 Theory of Linear Equations
INTRODUCTION
We turn now to differential equations of order two or higher. In this section we will examine some of the underlying theory of linear DEs. Then in the five sections that follow we learn how to solve linear higher-order differential equations.
3.1.1. Initial-Value and Boundary-Value Problems
Initial-Value Problem
In Section 1.2 we defined an initial-value problem for a general nth-order differential equation. For a linear differential equation, an nth-order initial-value problem (IVP) is
(1)
Recall ...
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