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

The solution to expand 2x(1+y^2)dx-y(1+2x^2)dy is 2xdx+2xy^2dx-ydy-2x^2ydy

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(-) (x - 1) (3 - x)

\frac{x ^{2} - 36 e ^{- 4 π x} + 45}{( x ^{2} + 9 ) ( x ^{2} + 33 )}

(x - y - 1)^{2}

e^{x} cos (x) (e^{x} sin (x) + e^{x} cos (x))

f (7 s - 2) (s + 3) d s

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