CHAPTER 3

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:

If the function *f* (*x*) is identically zero, the equation is called **homogeneous**. Otherwise, the equation is called **non-homogeneous**. If the functions *a*_{i}(*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 ...

Start Free Trial

No credit card required