Q. 505.0( 1 Vote )

Find the solution of the differential equation given that when

Answer :

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


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