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

The solution to expand (x^2+3y)dx+(2y^3+3x)dy is x^2dx+3ydx+2y^3dy+3xdy

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expand (x^2+3y)dx+(2y^3+3x)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(t e^{t a n (x)} cos (2 t) - 3) d t

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

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

cos (θ) (- 3, - 5)

What is expand (x^2+3y)dx+(2y^3+3x)dy ?
The solution to expand (x^2+3y)dx+(2y^3+3x)dy is x^2dx+3ydx+2y^3dy+3xdy