The fi rst order and fi rst degree differential equation of the type
dyaxbyc
dxlxmyn
++
=
++
(2.34)
where a, b, c, l, m
, n are given real constants is called a non-
homogeneous differential equation.
If c=n= 0 then Eq. (2.34) reduces to a homogeneous equation
+
=
+
dYaXbY
dXlXmY
whose solution we have discussed above. The new
method of solution (the method of proportions) used for solving non-
homogeneous equations (case (b)) below may be used for solving the
homo
geneous equation of this type. But other forms under homoge-
neous type ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month, and much more.