What is e^{-θt}*cos(wt)u(t) ?

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

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simplify e^{-θt}*cos(wt)u(t)

simplify

e^{- θt} \cdot cos (wt) u (t)

\frac{t u cos ( tw )}{e ^{θt}}

Solution steps

e^{- θt} cos (wt) u (t)

Apply exponent rule:

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

= \frac{1}{e ^{θt}} t u cos (tw)

Multiply fractions:

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

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

Multiply:

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

= \frac{t u cos ( tw )}{e ^{θt}}

0.3 \cdot 2^{2}

2 e^{- 2 \cdot 0.5}

\frac{w ^{2}}{w ^{4}} d w

(6.3 \cdot 1 0^{- 7}) (6)

6 e^{x^{2}} (e^{e^{x^{2}}})

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