What is expand (y^3-4xy^2-2x^3)dx+x^2(2y+x)dy ?

The solution to expand (y^3-4xy^2-2x^3)dx+x^2(2y+x)dy is y^3dx-4y^2xdx-2x^3dx+2yx^2dy+x^3dy

Popular >

expand (y^3-4xy^2-2x^3)dx+x^2(2y+x)dy

expand

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

y^{3} d x - 4 y^{2} x d x - 2 x^{3} d x + 2 y x^{2} d y + x^{3} d y

Solution steps

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

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

Expand

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

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

Expand

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

= y^{3} d x - 4 y^{2} x d x - 2 x^{3} d x + 2 y x^{2} d y + x^{3} d y

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

(\frac{x ^{2}}{2} + \frac{a}{x})^{6}

2 sin^{2} (2 t) + 2 (e^{t} - 2)^{2}

(x^{2} + y^{2}) \cdot x^{2} + y^{2}

lo g_{5} (x) (x + 2)

What is expand (y^3-4xy^2-2x^3)dx+x^2(2y+x)dy ?
The solution to expand (y^3-4xy^2-2x^3)dx+x^2(2y+x)dy is y^3dx-4y^2xdx-2x^3dx+2yx^2dy+x^3dy