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

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

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

simplify

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

1.048576 \cdot 1 0^{- 0.4}

ln (e) e^{- 2}

(x - e^{x}) (x - e^{x})

2.69 (1 0^{- 7})

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