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

The solution to expand (xy^2-kx^2y)dx+(x-y)x^2dy is xy^2dx-kx^2ydx+x^3dy-x^2ydy

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

expand

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

x y^{2} d x - k x^{2} y d x + x^{3} d y - x^{2} y d y

Solution steps

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

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

Expand

d x (x y^{2} - k x^{2} y) : x y^{2} d x - k x^{2} y d x

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

Expand

x^{2} d y (x - y) : x^{3} d y - x^{2} y d y

= x y^{2} d x - k x^{2} y d x + x^{3} d y - x^{2} y d y

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

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

(6 x + 9 y + 11) d x + (9 x - 4 y + 3) d y

\frac{( x - 1 ) ( x - 3 ) ( x - 6 )}{6}

cos (x) (cos (x) + (- s) in x)

What is expand (xy^2-kx^2y)dx+(x-y)x^2dy ?
The solution to expand (xy^2-kx^2y)dx+(x-y)x^2dy is xy^2dx-kx^2ydx+x^3dy-x^2ydy