What is expand (2xy+y^4)dx+(3x^2+6xy^3)dy ?

The solution to expand (2xy+y^4)dx+(3x^2+6xy^3)dy is 2xydx+y^4dx+3x^2dy+6xy^3dy

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expand (2xy+y^4)dx+(3x^2+6xy^3)dy

expand

(2 x y + y^{4}) d x + (3 x^{2} + 6 x y^{3}) d y

2 x y d x + y^{4} d x + 3 x^{2} d y + 6 x y^{3} d y

Solution steps

(2 x y + y^{4}) d x + (3 x^{2} + 6 x y^{3}) d y

Expand

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

= 2 x y d x + y^{4} d x + (3 x^{2} + 6 x y^{3}) d y

Expand

d y (3 x^{2} + 6 x y^{3}) : 3 x^{2} d y + 6 x y^{3} d y

= 2 x y d x + y^{4} d x + 3 x^{2} d y + 6 x y^{3} d y

(2 + 1)^{4}

f (x) = \frac{5}{( 2 x - 3 ) ^{4}}

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

(1 - e^{2 t})^{2}

(1 - 2 cos (t))^{2}

What is expand (2xy+y^4)dx+(3x^2+6xy^3)dy ?
The solution to expand (2xy+y^4)dx+(3x^2+6xy^3)dy is 2xydx+y^4dx+3x^2dy+6xy^3dy