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

The solution to expand (2xt+4x+3y)dx+(x^2+3x)dy is 2xtdx+4xdx+3ydx+x^2dy+3xdy

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

expand

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

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

Solution steps

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

Expand

d x (2 x t + 4 x + 3 y) : 2 x t d x + 4 x d x + 3 y d x

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

Expand

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

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

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

6 - x ((- 2 - x) (5 - x))

256 e^{4 x} \cdot (10 x^{6} - 6 x^{5})

(- e^{- t} + e^{- 2 t}) u (- t)

\frac{( s + 1 ) e ^{5} s}{( s ^{2} + 2 s + 10 )}

What is expand (2xt+4x+3y)dx+(x^2+3x)dy ?
The solution to expand (2xt+4x+3y)dx+(x^2+3x)dy is 2xtdx+4xdx+3ydx+x^2dy+3xdy