What is laplacetransform 2cos(2t) ?

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

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laplacetransform 2cos(2t)

laplace transform

2 cos (2 t)

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

Solution steps

L {2 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)}

= 2 L {cos (2 t)}

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

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

Refine

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

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

e^{y - 1}

x \to 2 - lim (\frac{∣ x - 2 ∣}{x})

\frac{d y}{d x} = x + \frac{3 y}{x}

\frac{\partial}{\partial x} (\frac{1}{y} - \frac{1}{x ^{2}})

\frac{\partial}{\partial y} (5 x^{2} y^{2})

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