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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
8-38 Diff erential Equations
14. p tan x + q tan y = tan z. [Andhra 1990, Kerala 1987 S]
Ans:
sin sin
,0
sin sin
xx
F
yz
⎛⎞
=
⎜⎟
⎝⎠
15. xe
y
p + (1 e
y
)q = ze
y
.
Ans:
,( )(1 ) 0
y
x
Fxze
z
⎛⎞
+− =
⎜⎟
⎝⎠
8.11 NONLINEAR EQUATIONS OF FIRST ORDER
The most general partial differential equation of the first order in two
independent variables is of the form
f (x, y, z, p, q) = 0 (8.231)
which may not be linear.
We do not propose to study any general method of integration of
Eq. (8.231) but consider only four standard forms which admit inte-
gration by very short processes. Also, many equations can be reduced
to one or the other of these four forms.
The general integral, ...
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Publisher Resources

ISBN: 9781299487406Publisher Website