CHAPTER 3

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Higher Order Differential Equations. The Laplace Transform and Special Types of Equations

Ordinary High-Order Equations

An ordinary linear differential equation of order n has the following general form:

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If the function f (x) is identically zero, the equation is called homogeneous. Otherwise, the equation is called non-homogeneous. If the functions ai(x) (i = 1, …, n) are constant, the equation is said to have constant coefficients.

A concept of great importance in this context is that of a set of linearly independent functions. A set ...

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