The given differential Equation is .

Find: Find the solution of this differential equation.

= .

=

=

Integrating both side,

=

= log |sin y| = - sin x + C .....(i)

Put y = and x =

= log |sin | = - sin + C

= 0 = -1 + C

= C =1

Put the value of C in eq(i)

Hence, The solution is log |sin y| + sin x =1