What is laplacetransform 7cos(2t) ?

The answer to laplacetransform 7cos(2t) is (7s)/(s^2+4)

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laplacetransform 7cos(2t)

laplace transform

7 cos (2 t)

\frac{7 s}{s ^{2} + 4}

Solution steps

L {7 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)}

= 7 L {cos (2 t)}

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

= 7 \cdot \frac{s}{s ^{2} + 4}

Refine

7 \frac{s}{s ^{2} + 4} : \frac{7 s}{s ^{2} + 4}

= \frac{7 s}{s ^{2} + 4}

\int ddd

\int (x + 3) (x - 2) d x

\frac{d}{d x} (\frac{1}{x ^{4}})

\frac{1}{4 s ^{2} + 1}

\int cos (\frac{1}{2}) x d x

What is laplacetransform 7cos(2t) ?
The answer to laplacetransform 7cos(2t) is (7s)/(s^2+4)