What is e^{-t}(cos(wt)-2sin(w)t) ?

The solution to e^{-t}(cos(wt)-2sin(w)t) is (-2tsin(w)+cos(wt))/(e^t)

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simplify e^{-t}(cos(wt)-2sin(w)t)

simplify

e^{- t} (cos (wt) - 2 sin (w) t)

\frac{- 2 t sin ( w ) + cos ( wt )}{e ^{t}}

Solution steps

e^{- t} (cos (wt) - 2 sin (w) t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{t}} (- 2 t sin (w) + cos (wt))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( cos ( wt ) - 2 sin ( w ) t )}{e ^{t}}

1 \cdot (cos (wt) - 2 sin (w) t) = cos (wt) - 2 t sin (w)

= \frac{cos ( wt ) - 2 t sin ( w )}{e ^{t}}

5 e^{- 2 (- 1)}

M L^{- 3} (\frac{d}{d T} (L^{3}))

6 x + 7 x x

2.83 \cdot 1 0^{- 9}

(6 a^{4} b c^{2}) (7 a^{4} b^{3} c)

What is e^{-t}(cos(wt)-2sin(w)t) ?
The solution to e^{-t}(cos(wt)-2sin(w)t) is (-2tsin(w)+cos(wt))/(e^t)