- (a) Determine the general solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } - 3 y \tan x = \mathrm { e } ^ { 4 x } \sec ^ { 3 } x$$
giving your answer in the form \(y = \mathrm { f } ( x )\)
(b) Determine the particular solution for which \(y = 4\) at \(x = 0\)