First order differential equations (integrating factor)
8
Find the general solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + y \tan x = \cos ^ { 3 } x$$
expressing \(y\) in terms of \(x\) in your answer.
Find the particular solution for which \(y = 2\) when \(x = \pi\).