If y = y(x) is the solution of the differential equation ${{dy} \over {dx}}$ + (tan x) y = sin x, $0 \le x \le {\pi \over 3}$, with y(0) = 0, then $y\left( {{\pi \over 4}} \right)$ equal to :

Question

If y = y(x) is the solution of the differential equation

${{dy} \over {dx}}$ + (tan x) y = sin x, $0 \le x \le {\pi \over 3}$, with y(0) = 0, then $y\left( {{\pi \over 4}} \right)$ equal to :

${1 \over 2}$log_e 2

$\left( {{1 \over {2\sqrt 2 }}} \right)$ log_e 2

log_e 2

${1 \over 4}$ log_e 2

Solution

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