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what is the solution of differential equation dy/dx=(y 2 +x 2 +2xy+y+x)/(y 2 +x 2 +2xy+2y+2x) ?

what is the solution of differential equation dy/dx=(y2+x2+2xy+y+x)/(y2+x2+2xy+2y+2x) ?

Grade:12

1 Answers

Abhishek Singh
105 Points
9 years ago
(y2+x2+2xy+y+x)/(y2+x2+2xy+2y+2x)= ((y+x)2+(y+x))/((y+x)2+2(y+x))
                                                           = (x+y+1)/(x+y+2)
 
we can now solve the diff. eqn by substituting x+y=t

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