What is expand e^x(sin(y)+3y)dx-(3x-e^x(sin(y))dy=0) ?

The solution to expand e^x(sin(y)+3y)dx-(3x-e^x(sin(y))dy=0) is e^xsin(y)dx+3e^xydx-3x+e^xsin(y)dy=0

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expand e^x(sin(y)+3y)dx-(3x-e^x(sin(y))dy=0)

expand

e^{x} (sin (y) + 3 y) d x - (3 x - e^{x} (sin (y)) d y = 0)

e^{x} sin (y) d x + 3 e^{x} y d x - 3 x + e^{x} sin (y) d y = 0

Solution steps

e^{x} (sin (y) + 3 y) d x - (3 x - e^{x} (sin (y)) d y = 0)

= e^{x} (sin (y) + 3 y) d x - (3 x - 0 = e^{x} (sin (y)) d y)

Expand

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

= e^{x} sin (y) d x + 3 e^{x} y d x - (3 x - e^{x} (sin (y)) d y = 0)

- (3 x - e^{x} (sin (y)) d y = 0) : - 3 x + e^{x} (sin (y)) d y = 0

e^{x} sin (y) d x + 3 e^{x} y d x - 3 x + e^{x} (sin (y)) d y = 0

Expand

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

e^{x} sin (y) d x + 3 e^{x} y d x - 3 x + e^{x} sin (y) d y = 0

(2 - x - 5)^{2}

\frac{100 ( s - 4 )}{( s + 3 ) ( s + 2 ) ^{2}}

\frac{x ^{2} + 1}{x ^{2} ( x + 1 )}

(p - 11)^{2}

What is expand e^x(sin(y)+3y)dx-(3x-e^x(sin(y))dy=0) ?
The solution to expand e^x(sin(y)+3y)dx-(3x-e^x(sin(y))dy=0) is e^xsin(y)dx+3e^xydx-3x+e^xsin(y)dy=0