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Popular >

simplify e^{(-at)}sin(wt)

Solution

simplify

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

Solution

\frac{sin ( tw )}{e ^{a t}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot sin (wt) = sin (wt)

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

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Frequently Asked Questions (FAQ)

What is e^{(-at)}sin(wt) ?
The solution to e^{(-at)}sin(wt) is (sin(tw))/(e^{at)}