The solution of the differential equation \[3{{e}^{x}}\tan ydx+(1-{{e}^{x}}){{\sec }^{2}}ydy=0\] is [MP PET 1993; AISSE 1985]

\[{{(1-{{e}^{x}})}^{3}}\tan y=c\]

\[\tan y=c{{(1-{{e}^{x}})}^{3}}\]

The solution of the differential equation \[3{{e}^{x}}\tan ydx+(1-{{e}

1.	The solution of the differential equation \[3{{e}^{x}}\tan ydx+(1-{{e}^{x}}){{\sec }^{2}}ydy=0\] is [MP PET 1993; AISSE 1985]
A.	\[\tan y=c{{(1-{{e}^{x}})}^{3}}\]
B.	\[{{(1-{{e}^{x}})}^{3}}\tan y=c\]
C.	\[\tan y=c(1-{{e}^{x}})\]
D.	\[(1-{{e}^{x}})\tan y=c\]
Answer» B. \[{{(1-{{e}^{x}})}^{3}}\tan y=c\]

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The solution of the differential equation \[3{{e}^{x}}\tan ydx+(1-{{e}^{x}}){{\sec }^{2}}ydy=0\] is [MP PET 1993; AISSE 1985]

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