What is laplacetransform 5cos(2t) ?

The answer to laplacetransform 5cos(2t) is (5s)/(s^2+4)

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laplacetransform 5cos(2t)

laplace transform

5 cos (2 t)

\frac{5 s}{s ^{2} + 4}

Solution steps

L {5 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)}

= 5 L {cos (2 t)}

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

= 5 \cdot \frac{s}{s ^{2} + 4}

Refine

5 \frac{s}{s ^{2} + 4} : \frac{5 s}{s ^{2} + 4}

= \frac{5 s}{s ^{2} + 4}

What is laplacetransform 5cos(2t) ?
The answer to laplacetransform 5cos(2t) is (5s)/(s^2+4)