jee-main 2022 Q76

jee-main · India · session2_26jul_shift1 First order differential equations (integrating factor)

If $\frac { d y } { d x } + 2 y \tan x = \sin x , 0 < x < \frac { \pi } { 2 }$ and $y \left( \frac { \pi } { 3 } \right) = 0$, then the maximum value of $y ( x )$ is
(1) $\frac { 1 } { 8 }$
(2) $\frac { 3 } { 4 }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 3 } { 8 }$

If $\frac { d y } { d x } + 2 y \tan x = \sin x , 0 < x < \frac { \pi } { 2 }$ and $y \left( \frac { \pi } { 3 } \right) = 0$, then the maximum value of $y ( x )$ is\\
(1) $\frac { 1 } { 8 }$\\
(2) $\frac { 3 } { 4 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 3 } { 8 }$

Paper Questions

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