What is expand (e^xsin(y)+3y)dx-(3x-e^xsin(y))dy ?

The solution to expand (e^xsin(y)+3y)dx-(3x-e^xsin(y))dy is e^xsin(y)dx+3ydx-3xdy+e^xsin(y)dy

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expand (e^xsin(y)+3y)dx-(3x-e^xsin(y))dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{5 ( 45977 - 139 )}{68}

\frac{s}{( s + 4 ) ^{3}}

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

\frac{( x ^{2} - 2 x + 17 )}{( 4 - x ) ( 1 + x ) ^{2}}

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

What is expand (e^xsin(y)+3y)dx-(3x-e^xsin(y))dy ?
The solution to expand (e^xsin(y)+3y)dx-(3x-e^xsin(y))dy is e^xsin(y)dx+3ydx-3xdy+e^xsin(y)dy