What is expand (y^2+1)dx+(2xy+ye^y)dy ?

The solution to expand (y^2+1)dx+(2xy+ye^y)dy is y^2dx+dx+2yxdy+e^yydy

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expand (y^2+1)dx+(2xy+ye^y)dy

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

\frac{e ^{- 2 s}}{( s + 2 ) ( s + 3 )}

(2 x + 3) y^{'} (x)

\frac{6}{s ^{4} ( s ^{2} - 1 )}

(x^{'} - x^{''})^{2}

(cos (x) + sin (x)) (2, x)

What is expand (y^2+1)dx+(2xy+ye^y)dy ?
The solution to expand (y^2+1)dx+(2xy+ye^y)dy is y^2dx+dx+2yxdy+e^yydy