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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
4
Diff erential Equations
of the First Order but
not of the First Degree
We will now discuss the solutions of differential equations which are
of the fi rst order but are of degree higher than one. Such differential
equations will contain only the fi rst order differential coeffi cient
dy
dx
but
will occur in a degree higher than one. It is usual to denote
dy
dx
by p. The
general form of such a differential equation is then
p
n
+ A
1
p
n1
+ A
2
p
n2
++ A
n1
p + A
n
= 0
where A
1
, A
2
A
n
are some functions of x and y.
Now we will consider various methods of solving the differential
equations of the above type.
4.1 EQUATIONS SOLVABLE FOR p
Suppose the dif ...
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Publisher Resources

ISBN: 9781299487406Publisher Website