What is laplacetransform-5cos(0.4t) ?

The answer to laplacetransform-5cos(0.4t) is -(5s)/(s^2+0.16)

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laplacetransform-5cos(0.4t)

laplace transform

- 5 cos (0.4 t)

- \frac{5 s}{s ^{2} + 0.16}

Solution steps

L {- 5 cos (0.4 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)}

= - 5 L {cos (0.4 t)}

L {cos (0.4 t)} : \frac{s}{s ^{2} + 0.16}

= - 5 \cdot \frac{s}{s ^{2} + 0.16}

Refine

- 5 \frac{s}{s ^{2} + 0.16} : - \frac{5 s}{s ^{2} + 0.16}

= - \frac{5 s}{s ^{2} + 0.16}

y^{^{'}} = y^{2}

\int u \cdot e^{u} d u

x \frac{d y}{d x} = y + x^{2} sin (x)

\int 7 t d t

\int 8 tan^{2} (x) d x

What is laplacetransform-5cos(0.4t) ?
The answer to laplacetransform-5cos(0.4t) is -(5s)/(s^2+0.16)