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

The solution to expand (xy^2+2ycos(x))dx-(x^2y+2sin(x))dy is xy^2dx+2ycos(x)dx-x^2ydy-2sin(x)dy

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

expand

(x y^{2} + 2 y cos (x)) d x - (x^{2} y + 2 sin (x)) d y

x y^{2} d x + 2 y cos (x) d x - x^{2} y d y - 2 sin (x) d y

Solution steps

(x y^{2} + 2 y cos (x)) d x - (x^{2} y + 2 sin (x)) d y

Expand

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

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

Expand

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

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

\frac{( x ^{2} + 3 ) ^{3}}{3}

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

(A x^{2} + B x + C) e^{x}

(2 - x - 3) (x - 1 + 2)

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

What is expand (xy^2+2ycos(x))dx-(x^2y+2sin(x))dy ?
The solution to expand (xy^2+2ycos(x))dx-(x^2y+2sin(x))dy is xy^2dx+2ycos(x)dx-x^2ydy-2sin(x)dy