What is laplacetransform-4cos(2t) ?

The answer to laplacetransform-4cos(2t) is -(4s)/(s^2+4)

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laplacetransform-4cos(2t)

laplace transform

- 4 cos (2 t)

- \frac{4 s}{s ^{2} + 4}

Solution steps

L {- 4 cos (2 t)}

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)}

= - 4 L {cos (2 t)}

L {cos (2 t)} : \frac{s}{s ^{2} + 4}

= - 4 \cdot \frac{s}{s ^{2} + 4}

Refine

- 4 \frac{s}{s ^{2} + 4} : - \frac{4 s}{s ^{2} + 4}

= - \frac{4 s}{s ^{2} + 4}

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