What is laplacetransform 5cos(t/(3000)) ?

The answer to laplacetransform 5cos(t/(3000)) is (45000000s)/(9000000s^2+1)

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laplacetransform 5cos(t/(3000))

laplace transform

5 cos (\frac{t}{3000})

\frac{45000000 s}{9000000 s ^{2} + 1}

Solution steps

L {5 cos (\frac{t}{3000})}

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)}

= 5 L {cos (\frac{t}{3000})}

L {cos (\frac{t}{3000})} : \frac{9000000 s}{9000000 s ^{2} + 1}

= 5 \cdot \frac{9000000 s}{9000000 s ^{2} + 1}

Refine

5 \frac{9000000 s}{9000000 s ^{2} + 1} : \frac{45000000 s}{9000000 s ^{2} + 1}

= \frac{45000000 s}{9000000 s ^{2} + 1}

\int e^{- X} d X

\int 3 + csc (x) \cdot cot (x) d x

f (x) = \frac{1 + x}{1 + e ^{x}}

f (x) = sec^{3} (x)

2 \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 3 y = 0

What is laplacetransform 5cos(t/(3000)) ?
The answer to laplacetransform 5cos(t/(3000)) is (45000000s)/(9000000s^2+1)