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Popular >

expand (2e^y+3xsin(y))dx+(xe^y+x^2cos(x))dy

Solution

expand

(2 e^{y} + 3 x sin (y)) d x + (x e^{y} + x^{2} cos (x)) d y

Solution

2 e^{y} d x + 3 x sin (y) d x + e^{y} x d y + x^{2} cos (x) d y

Solution steps

(2 e^{y} + 3 x sin (y)) d x + (x e^{y} + x^{2} cos (x)) d y

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

Expand

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

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

Expand

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

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

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Frequently Asked Questions (FAQ)

What is expand (2e^y+3xsin(y))dx+(xe^y+x^2cos(x))dy ?
The solution to expand (2e^y+3xsin(y))dx+(xe^y+x^2cos(x))dy is 2e^ydx+3xsin(y)dx+e^yxdy+x^2cos(x)dy