What is expand y(x+y)dx+(xy+1)/(dy=0) ?

The solution to expand y(x+y)dx+(xy+1)/(dy=0) is yxdx+y^2dx+(xy+1)/(dy=0)

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expand y(x+y)dx+(xy+1)/(dy=0)

expand

y (x + y) d x + \frac{x y + 1}{d y = 0}

y x d x + y^{2} d x + \frac{x y + 1}{d y = 0}

Solution steps

y (x + y) d x + \frac{x y + 1}{d y = 0}

= y (x + y) d x + \frac{y x + 1}{0 = d y}

Expand

y d x (x + y) : y x d x + y^{2} d x

= y x d x + y^{2} d x + \frac{x y + 1}{d y = 0}

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\frac{( 1 - e ^{- 6 s} + 4 s ^{2} )}{2 s ^{2} ( s ^{2} + s )}

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What is expand y(x+y)dx+(xy+1)/(dy=0) ?
The solution to expand y(x+y)dx+(xy+1)/(dy=0) is yxdx+y^2dx+(xy+1)/(dy=0)