Which one of the following equation is exact differential equation a) (y sin 2x)dx-(y² +cos? x)dy = 0 b) (y sin 2x)dx- (y² +x)dy = 0 dy_ 2x+ y+1 y+ 4x-3 c) d) None of these dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which one of the following equation is exact differential equation
а)
(y sin 2x)dx- (y² + cos? x)dy = 0
b)
(y sin 2x)dx- (y² + x)dy = 0
dy
2x+y+1
c)
d)
None of these
%3D
dx
у+4х-3
Ob
The implicit solution of the differential equation (1+x³)dy=(1+ y`)dx by using variable
separable method is
-1
а)
tany = tanx+c
b)
tan'x = tany
c)
In (x + 1) = In y + In c
d)
None of these
Transcribed Image Text:Which one of the following equation is exact differential equation а) (y sin 2x)dx- (y² + cos? x)dy = 0 b) (y sin 2x)dx- (y² + x)dy = 0 dy 2x+y+1 c) d) None of these %3D dx у+4х-3 Ob The implicit solution of the differential equation (1+x³)dy=(1+ y`)dx by using variable separable method is -1 а) tany = tanx+c b) tan'x = tany c) In (x + 1) = In y + In c d) None of these
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