2.3 Linear Equations
INTRODUCTION
We continue our search for solutions of first-order DEs by next examining linear equations. Linear differential equations are an especially “friendly” family of differential equations in that, given a linear equation, whether first-order or a higher-order kin, there is always a good possibility that we can find some sort of solution of the equation that we can look at.
A Definition
The form of a linear first-order DE was given in (7) of Section 1.1. This form, the case when n = 1 in (6) of that section, is reproduced here for convenience.
DEFINITION 2.3.1 Linear Equation
A first-order differential equation ...
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