What is expand (x^2-4)dy+(6x-2xy)dx ?

The solution to expand (x^2-4)dy+(6x-2xy)dx is x^2dy-4dy+6xdx-2xydx

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expand (x^2-4)dy+(6x-2xy)dx

expand

(x^{2} - 4) d y + (6 x - 2 x y) d x

x^{2} d y - 4 d y + 6 x d x - 2 x y d x

Solution steps

(x^{2} - 4) d y + (6 x - 2 x y) d x

Expand

d y (x^{2} - 4) : x^{2} d y - 4 d y

= x^{2} d y - 4 d y + (6 x - 2 x y) d x

Expand

d x (6 x - 2 x y) : 6 x d x - 2 x y d x

= x^{2} d y - 4 d y + 6 x d x - 2 x y d x

- 3 (1 + 2)

(x + 1) e^{x^{2} + 2 x}

(2 x - 4 x^{3}) d x - (2 y - x^{2}) d y

\frac{A}{( x - 1 ) ^{2}} + \frac{B}{x - 1} + \frac{c}{x - 0.3679}

(x^{2} + 2 x = 1) e^{2 x}

What is expand (x^2-4)dy+(6x-2xy)dx ?
The solution to expand (x^2-4)dy+(6x-2xy)dx is x^2dy-4dy+6xdx-2xydx