Question
x(√1+y)+y(√1+x)=0,prove that dy/dx=-1/(1+x)2
Read 1 Solution.
x(√1+y) = y(√1+x)
squaring both sides we get
x2 +x2y = y2 +y2x
x2 - y2 +x2y - y2x = 0
(x-y)(x+y)+xy(x+y) =0
(x-y)[x+y +xy] =0
»» x=y [ not possible] and x+y+xy =o
y= -x/(1+x) then differentiate......
VISHAL PHOGAT 11 year ago
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