Solve the differential equation given that when

Given:

Find: Find the particular solution of this differential equation.

=

=

=

Integrating both side,

=

= ….(i)

Put x = 0, y = 1

=

= C

Put C in eq (i), we get

=

=

=

=

= y + xy =1- x

Hence, x + y = 1 – xy