Solve the differential equation given that when

Given differential equation.

Find: Find the particular solution of this differential equation.

=

=

=

Integrating both sides, we get

=

= log|sec y| = - log|x| + C …..(i)

Put x = , y =

= log|sec | = - log|| + C

= C

= C

= C = log2

Put C in equation (i)

= log|sec y| = - log|x| + log2

=

Hence,