What is laplacetransform cos(2pit) ?

The answer to laplacetransform cos(2pit) is s/(s^2+4pi^2)

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laplacetransform cos(2pit)

laplace transform

cos (2 π t)

\frac{s}{s ^{2} + 4 π ^{2}}

Solution steps

L {cos (2 π t)}

Use Laplace Transform table:

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

L {cos (2 π t)} = \frac{s}{s ^{2} + ( 2 π ) ^{2}}

= \frac{s}{s ^{2} + ( 2 π ) ^{2}}

= \frac{s}{s ^{2} + 4 π ^{2}}

t^{2} y^{^{''}} - 6 t y^{^{'}} + 10 y = 0

\frac{d}{d x} (ln (x^{5} (x + 4)^{7} (x^{2} + 4)^{5}))

\int_{0}^{4} x + 2 - x d x

\int \frac{y ^{2} + 16}{y} d y

\frac{d}{d x} (ln (\frac{x ^{3} - 2 x}{4 + x}))

What is laplacetransform cos(2pit) ?
The answer to laplacetransform cos(2pit) is s/(s^2+4pi^2)