First order differential equations (integrating factor)
6
Obtain the general solution of the differential equation
$$\tan x \frac { \mathrm {~d} y } { \mathrm {~d} x } + y = \sin x \tan x$$
where \(0 < x < \frac { \pi } { 2 }\) [0pt]
[5 marks]
6
Hence find the particular solution of this differential equation, given that \(y = \frac { 1 } { 2 \sqrt { 2 } }\)
when \(x = \frac { \pi } { 4 }\) [0pt]
[2 marks]