To: find the dolution of given :- differ ential equation. Given, eg" Now, Comparing et"o with M(x, ¥) dx + N(zdy =0 M(2,4) = x2 y NE) = - 84 %3D Nou, - 84 fe Re - %3D in step I, eg"o is using "exact" result givem solution of ego is MC 4 - constant N free from x o dy Y- Const. N.fnce faom x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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I don't understand the orange part
To; find Ahie
dolution of given
differ ential eguation,
Given,
(x² y²) dx - 8xydy
Now,
Comparing e"o
with
M(, #) dz + N(z) dy =0
M(2, 4) = x2 y
N(E) = - 84
%3D
%3D
Now,
%3D
%3D
eg"o is
givem
in step I,
using
"exact"
so,
result
is
solution
of ego
%3D
4 - constant
N free from x
o dy
y- const.
N.fnce frem x
Transcribed Image Text:To; find Ahie dolution of given differ ential eguation, Given, (x² y²) dx - 8xydy Now, Comparing e"o with M(, #) dz + N(z) dy =0 M(2, 4) = x2 y N(E) = - 84 %3D %3D Now, %3D %3D eg"o is givem in step I, using "exact" so, result is solution of ego %3D 4 - constant N free from x o dy y- const. N.fnce frem x
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