What is expand (x+y)ydx+(2y+x-1)dy ?

The solution to expand (x+y)ydx+(2y+x-1)dy is xydx+y^2dx+2ydy+xdy-dy

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expand (x+y)ydx+(2y+x-1)dy

expand

(x + y) y d x + (2 y + x - 1) d y

x y d x + y^{2} d x + 2 y d y + x d y - d y

Solution steps

(x + y) y d x + (2 y + x - 1) d y

= y (x + y) d x + (2 y + x - 1) d y

Expand

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

= x y d x + y^{2} d x + (2 y + x - 1) d y

Expand

d y (2 y + x - 1) : 2 y d y + x d y - d y

= x y d x + y^{2} d x + 2 y d y + x d y - d y

(x^{\frac{1}{3}} - 1)^{2}

\frac{1}{2 j ( 4 + j ^{4} π )}

\frac{d}{d x} ((Q (x, y)) (x^{2} + y (x, d)^{2}) d y (x, d))

(e^{\frac{jπ}{2}} - e^{- \frac{jπ}{2}})^{3}

\frac{( 2 x - 1 ) ( 3 - x )}{( x - 1 ) ( x + 3 )}

What is expand (x+y)ydx+(2y+x-1)dy ?
The solution to expand (x+y)ydx+(2y+x-1)dy is xydx+y^2dx+2ydy+xdy-dy