What is expand (2vw+w-ve^{-2v})dv+vdw ?

The solution to expand (2vw+w-ve^{-2v})dv+vdw is 2vwdv+wdv-e^{-2v}vdv+vdw

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expand (2vw+w-ve^{-2v})dv+vdw

expand

(2 v w + w - v e^{- 2 v}) d v + v d w

2 v w d v + w d v - e^{- 2 v} v d v + v d w

Solution steps

(2 v w + w - v e^{- 2 v}) d v + v d w

= (2 v w + w - e^{- 2 v} v) d v + v d w

Expand

d v (2 v w + w - v e^{- 2 v}) : 2 v w d v + w d v - e^{- 2 v} v d v

= 2 v w d v + w d v - e^{- 2 v} v d v + v d w

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

\frac{d x}{x ( m - x )}

\frac{8}{( x - a ) ( x ^{2} - 64 )}

\frac{x ^{2}}{( x - 4 ) ^{2} ( x + 7 )}

- sin (t) (- t + sin (t))^{2}

What is expand (2vw+w-ve^{-2v})dv+vdw ?
The solution to expand (2vw+w-ve^{-2v})dv+vdw is 2vwdv+wdv-e^{-2v}vdv+vdw