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Popular >

simplify e^{-at}sin(ω)tu(t)

Solution

simplify

e^{- a t} sin (ω) t u (t)

Solution

e^{- a t} t^{2} u sin (ω)

Solution steps

e^{- a t} sin (ω) t u (t)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

tt = t^{1 + 1}

= e^{- a t} sin (ω) u t^{1 + 1}

Add the numbers:

1 + 1 = 2

= e^{- a t} sin (ω) u t^{2}

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Frequently Asked Questions (FAQ)

What is e^{-at}sin(ω)tu(t) ?
The solution to e^{-at}sin(ω)tu(t) is e^{-at}t^2usin(ω)