What is laplacetransform cos(kt) ?

The answer to laplacetransform cos(kt) is s/(s^2+k^2)

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laplacetransform cos(kt)

laplace transform

cos (k t)

\frac{s}{s ^{2} + k ^{2}}

Solution steps

L {cos (k t)}

Use Laplace Transform table:

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

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

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

\frac{d x}{d t} + x = 3

\int \frac{1}{2 x} + \frac{6}{x ^{3}} - 7 x d x

\frac{\partial}{\partial x} (6 - 2 x)

\frac{d}{d x} ((x^{2})^{2})

What is laplacetransform cos(kt) ?
The answer to laplacetransform cos(kt) is s/(s^2+k^2)