jee-main 2015 Q86

jee-main · India · 04apr First order differential equations (integrating factor)
Let $y ( x )$ be the solution of the differential equation $( x \log x ) \frac { d y } { d x } + y = 2 x \log x , ( x \geq 1 )$. Then $y ( e )$ is equal to
(1) $2 e$
(2) $e$
(3) 0
(4) 2
Let $y ( x )$ be the solution of the differential equation $( x \log x ) \frac { d y } { d x } + y = 2 x \log x , ( x \geq 1 )$. Then $y ( e )$ is equal to\\
(1) $2 e$\\
(2) $e$\\
(3) 0\\
(4) 2