How do you find dydx given 2xy+y2=x+y?
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2(x'y+yx')+2yy'=1+y'
SirSumit:
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2xy+2y=x+y
2xy+2y-x-y=0
2xy+y=x
y(2x+1)=x
y=x/(2x+1)
dy/dx=(2x+1)d/dx (x)-(x)d/dx (2x+1) whole divide by (2x+1) whole square
dy/dx=2x+1-2x/(2x+1) whole square
dy/dx=1/(2x+1) whole square
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