What is laplacetransform acos(2pi+θ) ?

The answer to laplacetransform acos(2pi+θ) is (as)/(s^2+1)

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laplacetransform acos(2pi+θ)

laplace transform

a cos (2 π + θ)

\frac{a s}{s ^{2} + 1}

Solution steps

L {a cos (θ + 2 π)}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= a L {cos (2 π + θ)}

L {cos (2 π + θ)} : \frac{s}{s ^{2} + 1}

= a \frac{s}{s ^{2} + 1}

Refine

a \frac{s}{s ^{2} + 1} : \frac{a s}{s ^{2} + 1}

= \frac{a s}{s ^{2} + 1}

\frac{d y}{d t} = - 4 y + 3 e^{- t}

\int 3 x^{2} + x x d x

x \to 0 lim (\frac{x ^{2} - 9 x}{x})

(3, 3), (2, - 2)

\int x cos (n) x d x

What is laplacetransform acos(2pi+θ) ?
The answer to laplacetransform acos(2pi+θ) is (as)/(s^2+1)