The given differential equation is

Find: Find the particular solution of this differential equation.

=

=

Integrating both sides,

=

= log|y|=log|sec x| + log|C| .....(I)

Put y =1, x=0

0 = log(1) + C

C = 0

Put the value of C in equation in equation(I)

= log y = log |sec x|

Hence, y = sec x