What is laplacetransform 2cos(4t) ?

The answer to laplacetransform 2cos(4t) is (2s)/(s^2+16)

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laplacetransform 2cos(4t)

laplace transform

2 cos (4 t)

\frac{2 s}{s ^{2} + 16}

Solution steps

L {2 cos (4 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)}

= 2 L {cos (4 t)}

L {cos (4 t)} : \frac{s}{s ^{2} + 16}

= 2 \cdot \frac{s}{s ^{2} + 16}

Refine

2 \frac{s}{s ^{2} + 16} : \frac{2 s}{s ^{2} + 16}

= \frac{2 s}{s ^{2} + 16}

What is laplacetransform 2cos(4t) ?
The answer to laplacetransform 2cos(4t) is (2s)/(s^2+16)