What is expand (2xe^y+e^x)dx+(x^2+1)e^ydy ?

The solution to expand (2xe^y+e^x)dx+(x^2+1)e^ydy is 2e^yxdx+e^xdx+e^yx^2dy+e^ydy

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expand (2xe^y+e^x)dx+(x^2+1)e^ydy

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

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

(2, 5) y (0, - 3)

\frac{1 - sin ( 2 a )}{( sin ( a ) - cos ( a ) ) ^{2}}

\frac{3 t ^{2} - 8 t + 5}{( t + 1 ) ^{4}}

(e^{x} + 2 x)^{4}

What is expand (2xe^y+e^x)dx+(x^2+1)e^ydy ?
The solution to expand (2xe^y+e^x)dx+(x^2+1)e^ydy is 2e^yxdx+e^xdx+e^yx^2dy+e^ydy