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

The solution to expand (3x+2y+4)dx+(3x+2y-3)dy is 3xdx+2ydx+4dx+3xdy+2ydy-3dy

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expand (3x+2y+4)dx+(3x+2y-3)dy

expand

(3 x + 2 y + 4) d x + (3 x + 2 y - 3) d y

3 x d x + 2 y d x + 4 d x + 3 x d y + 2 y d y - 3 d y

Solution steps

(3 x + 2 y + 4) d x + (3 x + 2 y - 3) d y

Expand

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

= 3 x d x + 2 y d x + 4 d x + (3 x + 2 y - 3) d y

Expand

d y (3 x + 2 y - 3) : 3 x d y + 2 y d y - 3 d y

= 3 x d x + 2 y d x + 4 d x + 3 x d y + 2 y d y - 3 d y

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e^{12 x} [12 (2 x + 12 x^{2}) + 2 + \frac{24}{x}]

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