Linear differential equationsMedium

Solving Linear Differential Equation

Let y = y(x) be the solution of the differential equation cosx(log_e(cosx))²dy + (sinx –3ysinx log_e (cosx))dx = 0, $x \in \left( {0,\frac{\pi }{2}} \right)$ . If $y\left( {\frac{\pi }{4}} \right) = \frac{{ - 1}}{{{{\log }_e}2}},$ then $y\left( {\frac{\pi }{6}} \right)$ is :

SELECT ONE OPTION

Ask about this question