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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
8-4 Diff erential Equations
where
22
and ( ) .
df
du
ux y fu=+ ′=
Eliminating f between equations
(8.10) and (8.11), we again obtain the fi rst-order linear partial differ
-
ential equation (8.5).
Formation of PDE Ordinary differential equations are formed by
eliminating arbitrary constants only, whereas partial differential equa-
tions are formed by eliminating (a) arbitrary constants or (b) arbitrary
functions.
We know that the order of an ordinary differential equation is equal
to the number of arbitrary constants to be eliminated from a relation.
In the case of partial differential equations, if the number of arbi-
trary constants to be eliminated is ...
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Publisher Resources

ISBN: 9781299487406Publisher Website