Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • The solution of the differential equation ( x^2 - xy^2 ) dy/dx +y^2 +xy^2 =0 is

The solution of the differential equation ( x^2 - xy^2 ) dy/dx +y^2 +xy^2 =0 is

Answers (1)

best_answer

Solution:    We have ,

                    (x^2-xy^2)fracmathrmd ymathrmd x+y^2+xy^2=0

          Rightarrow        frac1-yy^2dy+frac1+xx^2dx=0

         Rightarrow       (frac1y^2-frac1y)dy+(frac1x^2+frac1x)dx=0

              Integrating , we get

        Rightarrow     log (fracxy)=frac1x+frac1y+c. 

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question