What is (e^{-at})cos(wt)*u(t) ?

The solution to (e^{-at})cos(wt)*u(t) is (tucos(tw))/(e^{at)}

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simplify (e^{-at})cos(wt)*u(t)

simplify

(e^{- a t}) cos (wt) \cdot u (t)

\frac{t u cos ( tw )}{e ^{a t}}

Solution steps

(e^{- a t}) cos (wt) u (t)

Apply exponent rule:

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

= \frac{1}{e ^{a t}} t u cos (tw)

Multiply fractions:

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

= \frac{1 \cdot cos ( wt ) u t}{e ^{a t}}

Multiply:

1 \cdot cos (wt) = cos (wt)

= \frac{t u cos ( tw )}{e ^{a t}}

e^{- 0.288}

e^{- 1000 C}

- e^{- 1} \cdot (- e^{- 1})

(+ 8 x^{5} y^{4}) (+ 8 x^{5} y^{3})

What is (e^{-at})cos(wt)*u(t) ?
The solution to (e^{-at})cos(wt)*u(t) is (tucos(tw))/(e^{at)}