3
Linear Differential Equations with Constant Coefficients
3.1 INTRODUCTION
In the previous chapter, we have studied the linear differential equation of the first order
It is called a homogeneous (or reduced) equation if Q(x) ≡ 0 and a non-homogeneous equation if Q(x) ≢ 0.
If we substitute y = u + v in Eq. (3.1), we have
which is satisfied if
This shows that y = u + v is the general solution (or complete solution) of Eq. ...
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