What is expand (3xe^y+2y)dx+(x^2e^y+x)dy ?

The solution to expand (3xe^y+2y)dx+(x^2e^y+x)dy is 3e^yxdx+2ydx+e^yx^2dy+xdy

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

= 3 e^{y} x d x + 2 y d x + e^{y} x^{2} d y + x d y

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

\frac{d ^{2}}{d t ^{2}} ((v) (a v (t) - b v (t) ln (v)))

\frac{( 2 a ^{2} - 1 ) ( 4 a ^{4} - 2 a ^{2} + 1 )}{8}

- \frac{- l ( - 2 l ( 3 a - l ^{2} ) - a ) + 3 a}{2}

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

What is expand (3xe^y+2y)dx+(x^2e^y+x)dy ?
The solution to expand (3xe^y+2y)dx+(x^2e^y+x)dy is 3e^yxdx+2ydx+e^yx^2dy+xdy