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Popular >

simplify e^{-at}*sin(bt)

Solution

simplify

e^{- a t} \cdot sin (b t)

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot sin (b t) = sin (b t)

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

Popular Examples

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\frac{0.08 7 ^{2}}{0.0619 4 ^{2}}

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e^{- x^{2}} \cdot e^{x}

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e^{- 0.17757}

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8.314462 \cdot 298.15 \cdot 3 \cdot 1 0^{- 3}

simplify 3e^{-0.02t}simplify

3 e^{- 0.02 t}

Frequently Asked Questions (FAQ)

What is e^{-at}*sin(bt) ?
The solution to e^{-at}*sin(bt) is (sin(tb))/(e^{at)}