Skip to Main Content
Differential Equations by Pearson
book

Differential Equations by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
472 pages
13h 25m
English
Pearson India
Content preview from Differential Equations by Pearson
2-16 Diff erential Equations
20.
()
22 2
xdy x xy y dx=++
.
Ans:
1
sinh log
y
xc
x
=+
2.1.3 Non-homogeneous Equations
The fi rst order and fi rst degree differential equation of the type
dy ax by c
dx lx my n
++
=
++
(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
+
=
+
dY aX bY
dX lX mY
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.
Start your free trial

You might also like

Differential Equations

Differential Equations

Marian Mureşan
Engineering Mathematics

Engineering Mathematics

P. Sivaramakrishna Das, C. Vijayakumari

Publisher Resources

ISBN: 9781299487406Publisher Website