jee-main 2017 Q80

jee-main · India · 09apr First order differential equations (integrating factor)
If $( 2 + \sin x ) \frac { d y } { d x } + ( y + 1 ) \cos x = 0$ and $y ( 0 ) = 1$, then $y \left( \frac { \pi } { 2 } \right)$ is equal to:
(1) $\frac { 1 } { 3 }$
(2) $- \frac { 2 } { 3 }$
(3) $- \frac { 1 } { 3 }$
(4) $\frac { 4 } { 3 }$
If $( 2 + \sin x ) \frac { d y } { d x } + ( y + 1 ) \cos x = 0$ and $y ( 0 ) = 1$, then $y \left( \frac { \pi } { 2 } \right)$ is equal to:\\
(1) $\frac { 1 } { 3 }$\\
(2) $- \frac { 2 } { 3 }$\\
(3) $- \frac { 1 } { 3 }$\\
(4) $\frac { 4 } { 3 }$