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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
Formation of a Di erential Equation 1-13
2
2
90
dy
y
dx
−=
It has no singular solution.
Example 1.2.14
2
()yxa=+ is the general solution;
2
yx=
is a particular solution; and
0y =
is a singular solution of the fi rst order and second degree
differential equation
2
40.
dy
y
dx
⎛⎞
−=
⎜⎟
⎝⎠
Note that the singular solution 0y = cannot be obtained from the
general solution for an
y value of the constant ‘a’.
For
mation of a differential equation is straight-forward while the
solution of a differential equation is not. So, we have to classify them
and fi nd methods of solution.
EXERCISE 1.1
Form the differential equation in each of the following cases by elimi-
nating ...
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Publisher Resources

ISBN: 9781299487406Publisher Website