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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