What is laplacetransform-5y ?

The answer to laplacetransform-5y is -5/(s^2)

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laplacetransform-5y

laplace transform

- 5 y

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

Solution steps

L {- 5 y}

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 {y}

L {y} : \frac{1}{s ^{2}}

= - 5 \cdot \frac{1}{s ^{2}}

Refine

- 5 \frac{1}{s ^{2}} : - \frac{5}{s ^{2}}

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

3 (x^{3} - x), 0

f (x) = 4 x^{2} + 12 x + 1, at x = - 2

\frac{d ^{2}}{d x ^{2}} (sin (3 x^{2}))

\frac{d}{d x} (x^{r (x)})

\frac{d}{d x} (30)