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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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