What is expand 2y(1-x)+x(1+y)(dy)/(dx) ?

The solution to expand 2y(1-x)+x(1+y)(dy)/(dx) is 2y-2xy+x(dy)/(dx)+x(dy)/(dx)y

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expand 2y(1-x)+x(1+y)(dy)/(dx)

expand

2 y (1 - x) + x (1 + y) \frac{d y}{d x}

2 y - 2 x y + x \frac{d y}{d x} + x \frac{d y}{d x} y

Solution steps

2 y (1 - x) + x (1 + y) \frac{d y}{d x}

Expand

2 y (1 - x) : 2 y - 2 x y

= 2 y - 2 x y + x (1 + y) \frac{d y}{d x}

Expand

x \frac{d y}{d x} (1 + y) : x \frac{d y}{d x} + x \frac{d y}{d x} y

= 2 y - 2 x y + x \frac{d y}{d x} + x \frac{d y}{d x} y

3 x (x^{2} + x + 2) f a c t oe

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

(t + c) e

(9 e^{9 t} - 9)^{2}

\frac{( x - 1 ) ( x - 10 )}{2}

What is expand 2y(1-x)+x(1+y)(dy)/(dx) ?
The solution to expand 2y(1-x)+x(1+y)(dy)/(dx) is 2y-2xy+x(dy)/(dx)+x(dy)/(dx)y