What is expand dy(xsin(y)+ycos(x)+gy) ?

The solution to expand dy(xsin(y)+ycos(x)+gy) is xsin(y)dy+ycos(x)dy+ygdy

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expand dy(xsin(y)+ycos(x)+gy)

expand

d y (x sin (y) + y cos (x) + g y)

x sin (y) d y + y cos (x) d y + y g d y

Solution steps

d y (x sin (y) + y cos (x) + g y)

= d y (x sin (y) + y cos (x) + y g)

Distribute parentheses

= d y x sin (y) + d yy cos (x) + d y g y

= x sin (y) d y + y cos (x) d y + y g d y

\frac{1 - x + 3 x ^{2}}{( 1 - 4 x + 3 x ^{2} ) ( 1 - x )}

e^{x} (x e^{- x} - e^{x})

\frac{3}{4} cos (2) (x + \frac{π}{3})

\frac{( 9 y ^{6} - 1 ) ^{2}}{36 y ^{6}}

\frac{10}{( x + 1 ) ( x + 2 ) ( x ^{2} + 1 )}

What is expand dy(xsin(y)+ycos(x)+gy) ?
The solution to expand dy(xsin(y)+ycos(x)+gy) is xsin(y)dy+ycos(x)dy+ygdy