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Calculus: Concepts and Methods by Joan Davies, Ken Binmore

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Twelve

Differential equations of order one

Differential equations are of immense importance in many different areas. In this chapter we provide only the briefest of introductions to the most elementary techniques and here we confine ourselves to differential equations of order one. None of this material is difficult and all of it is essential.

Further material on differential equations will be found in Chapter 14.

12.1 Differential equations

A differential equation is an equation which contains at least one derivative of an unknown function. Some examples of differential equations are given below.

Equations like (1)–(4) which involve only one ...

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