What is expand (xy+y^2)dx+(x+2y-1)dy ?

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

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expand (xy+y^2)dx+(x+2y-1)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(s + 3 - i) (s + 3 + i) (s + 10) (s + 11)

cot (θ) cos (θ) - csc (θ) (cos^{2} (θ) - sin^{2} (x))

(x^{2} + x - 2 + (3 - x) (x + 2))^{2}

(1 + sin (t))^{2}

t (x) x^{^{''}} + (2 t (x) - 4) x^{^{'}} + 2 x

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