Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy = 0 A In xy-ycosx-2e³x-5 sec y-3y²=C B x In y + y cos x -2e³x +5 secy -3y²=C C x In y - y cos x -2e³x+5 tany - 3y²=C (D) x In y + y cos x-2e³x +5 tany - 3y²=C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
Solve the exact differential equation
X
(In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy = 0
3x
A
In xy - ycos x-2e³x-5 sec y-3y²=C
B
x In y + y cos x -2e³x +5 secy - 3y²=C
3x
C
x In y - y cos x -2e³x +5 tan y-3y²=C
D
x In y + y cos x-2e³x +5 tany -3y²=C
Transcribed Image Text:Solve the exact differential equation X (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy = 0 3x A In xy - ycos x-2e³x-5 sec y-3y²=C B x In y + y cos x -2e³x +5 secy - 3y²=C 3x C x In y - y cos x -2e³x +5 tan y-3y²=C D x In y + y cos x-2e³x +5 tany -3y²=C
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