What is laplacetransform 6cos(0.2t) ?

The answer to laplacetransform 6cos(0.2t) is (6s)/(s^2+0.04)

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laplacetransform 6cos(0.2t)

laplace transform

6 cos (0.2 t)

\frac{6 s}{s ^{2} + 0.04}

Solution steps

L {6 cos (0.2 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)}

= 6 L {cos (0.2 t)}

L {cos (0.2 t)} : \frac{s}{s ^{2} + 0.04}

= 6 \cdot \frac{s}{s ^{2} + 0.04}

Refine

6 \frac{s}{s ^{2} + 0.04} : \frac{6 s}{s ^{2} + 0.04}

= \frac{6 s}{s ^{2} + 0.04}

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What is laplacetransform 6cos(0.2t) ?
The answer to laplacetransform 6cos(0.2t) is (6s)/(s^2+0.04)