- (a) Find, in the form \(y = \mathrm { f } ( x )\), the general solution of the equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + 2 y \tan x = \sin 2 x , \quad 0 < x < \frac { \pi } { 2 }$$
Given that \(y = 2\) at \(x = \frac { \pi } { 3 }\)
(b) find the value of \(y\) at \(x = \frac { \pi } { 6 }\), giving your answer in the form \(a + k \ln b\), where \(a\) and \(b\) are integers and \(k\) is rational.