What is laplacetransform sin(ω*t) ?

The answer to laplacetransform sin(ω*t) is ω/(s^2+ω^2)

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laplacetransform sin(ω*t)

laplace transform

sin (ω \cdot t)

\frac{ω}{s ^{2} + ω ^{2}}

Solution steps

L {sin (ω t)}

Use Laplace Transform table:

L {sin (a t)} = \frac{a}{s ^{2} + a ^{2}}

L {sin (ω t)} = \frac{ω}{s ^{2} + ω ^{2}}

= \frac{ω}{s ^{2} + ω ^{2}}

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What is laplacetransform sin(ω*t) ?
The answer to laplacetransform sin(ω*t) is ω/(s^2+ω^2)