What is laplacetransform 3cos(2t) ?

The answer to laplacetransform 3cos(2t) is (3s)/(s^2+4)

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laplacetransform 3cos(2t)

laplace transform

3 cos (2 t)

\frac{3 s}{s ^{2} + 4}

Solution steps

L {3 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)}

= 3 L {cos (2 t)}

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

= 3 \cdot \frac{s}{s ^{2} + 4}

Refine

3 \frac{s}{s ^{2} + 4} : \frac{3 s}{s ^{2} + 4}

= \frac{3 s}{s ^{2} + 4}

\frac{x ^{3}}{4 - x ^{2}}

\frac{\partial}{\partial x} (\frac{- x + 3 y}{( x + y ) ^{3}})

\frac{d}{d x} (ln (x) \cdot x)

x (x - 2)^{3}

f (x) = \frac{x}{3 + x}

What is laplacetransform 3cos(2t) ?
The answer to laplacetransform 3cos(2t) is (3s)/(s^2+4)