jee-main 2021 Q75

jee-main · India · session2_16mar_shift1 First order differential equations (integrating factor)

If $y = y ( x )$ is the solution of the differential equation, $\frac { d y } { d x } + 2 y \tan x = \sin x , y \left( \frac { \pi } { 3 } \right) = 0$, then the maximum value of the function $y ( x )$ over $R$ is equal to :
(1) 8
(2) $\frac { 1 } { 2 }$
(3) $- \frac { 15 } { 4 }$
(4) $\frac { 1 } { 8 }$

If $y = y ( x )$ is the solution of the differential equation, $\frac { d y } { d x } + 2 y \tan x = \sin x , y \left( \frac { \pi } { 3 } \right) = 0$, then the maximum value of the function $y ( x )$ over $R$ is equal to :\\
(1) 8\\
(2) $\frac { 1 } { 2 }$\\
(3) $- \frac { 15 } { 4 }$\\
(4) $\frac { 1 } { 8 }$

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