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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = - 2, b = y, c = x \frac{d y}{d x}

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

Apply minus-plus rules

+ (- a) = - a

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

y e^{x} (x + y)

(1, - 1, - 1) ((- 1, 1, - 1) x (- 1, - 1, 1))

(3 x + vx) (v d x + x d v)

\frac{( 4 x + 1 ) ( 5 x - 1 )}{x ^{2} - 4}

Q_{0} (1 - e^{- \frac{y}{a}})

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