What is laplacetransform 3cos(5t) ?

The answer to laplacetransform 3cos(5t) is (3s)/(s^2+25)

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laplacetransform 3cos(5t)

laplace transform

3 cos (5 t)

\frac{3 s}{s ^{2} + 25}

Solution steps

L {3 cos (5 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)}

= 3 L {cos (5 t)}

L {cos (5 t)} : \frac{s}{s ^{2} + 25}

= 3 \cdot \frac{s}{s ^{2} + 25}

Refine

3 \frac{s}{s ^{2} + 25} : \frac{3 s}{s ^{2} + 25}

= \frac{3 s}{s ^{2} + 25}

What is laplacetransform 3cos(5t) ?
The answer to laplacetransform 3cos(5t) is (3s)/(s^2+25)