What is expand (2xy^2+ye^x)dx+(2x^2y+e^x-1)dy ?

The solution to expand (2xy^2+ye^x)dx+(2x^2y+e^x-1)dy is 2xy^2dx+e^xydx+2x^2ydy+e^xdy-dy

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expand (2xy^2+ye^x)dx+(2x^2y+e^x-1)dy

expand

(2 x y^{2} + y e^{x}) d x + (2 x^{2} y + e^{x} - 1) d y

2 x y^{2} d x + e^{x} y d x + 2 x^{2} y d y + e^{x} d y - d y

Solution steps

(2 x y^{2} + y e^{x}) d x + (2 x^{2} y + e^{x} - 1) d y

= (2 x y^{2} + e^{x} y) d x + (2 x^{2} y + e^{x} - 1) d y

Expand

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

= 2 x y^{2} d x + e^{x} y d x + (2 x^{2} y + e^{x} - 1) d y

Expand

d y (2 x^{2} y + e^{x} - 1) : 2 x^{2} y d y + e^{x} d y - d y

= 2 x y^{2} d x + e^{x} y d x + 2 x^{2} y d y + e^{x} d y - d y

cos (4 (π + θ))

\frac{- 3 x ^{3} + 8 x ^{2} + 24 x - 39}{( 3 x - 2 ) ^{2} ( x ^{2} + 2 x + 5 )}

(1 - x)^{- 2} in x + 1

\frac{\frac{\partial}{\partial x} ( ( y - x ) ( x + y ) )}{2}

\frac{1}{s ^{2} ( s + 10 )}

What is expand (2xy^2+ye^x)dx+(2x^2y+e^x-1)dy ?
The solution to expand (2xy^2+ye^x)dx+(2x^2y+e^x-1)dy is 2xy^2dx+e^xydx+2x^2ydy+e^xdy-dy