What is laplacetransform sin(7t) ?

The answer to laplacetransform sin(7t) is 7/(s^2+49)

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laplacetransform sin(7t)

laplace transform

sin (7 t)

\frac{7}{s ^{2} + 49}

Solution steps

L {sin (7 t)}

Use Laplace Transform table:

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

L {sin (7 t)} = \frac{7}{s ^{2} + 7 ^{2}}

= \frac{7}{s ^{2} + 7 ^{2}}

= \frac{7}{s ^{2} + 49}

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What is laplacetransform sin(7t) ?
The answer to laplacetransform sin(7t) is 7/(s^2+49)