What is laplacetransform cos(k*t) ?

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

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laplacetransform cos(k*t)

laplace transform

cos (k \cdot 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 y}{d x} = y^{\frac{1}{3}}, y (1) = 0

\frac{( x ^{2} + 1 ) d y}{d x} = - y^{2} - 1

f (3) = 10 + 12 x - 3 x^{2} - x^{3}

y = 6 x - x^{2}

ln (\frac{∣ x ∣}{1 + x ^{2}})

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