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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
1-4 Di erential Equations
We can also classify differential equations as linear and non-linear.
A differential equation is called linear if the sum of the powers of the
function and its derivatives in each term is at most equal to unity, and
otherwise, non-linear.
Example 1.1.3
1. The following differential equations are linear.
(i)
2
012
2
() () () ()
dy dy
ax ax axy bx
dx dx
++=
(ii)
2
2
2
0
dy
my
dx
+=
2. The following differential equations are non-linear:
(i)
2
2
dy
xy
dx
⎛⎞
=
⎜⎟
⎝⎠
(ii) tan
dy
y
dx
=
1.2 DIFFERENTIAL EQUATIONS
Differential equations arise in many engineering and physical
problems. The approach of an engineer to the study of differential
equations ...
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Publisher Resources

ISBN: 9781299487406Publisher Website