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}

y^{^{''}} + 8 y^{^{'}} + 25 y = 0, y (3319) = - 3, y^{^{'}} (3319) = 1

\int \frac{1}{( x ^{2} - a ^{2} )} d x

\frac{d}{d x} (x^{2} (20 - x)^{3})

\int \frac{5 x + 6}{( x - 2 ) ( 3 x + 1 ) ^{2}} d x

f (y) = e^{t a n (θ)}

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