What is laplacetransform-3t ?

The answer to laplacetransform-3t is -3/(s^2)

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laplacetransform-3t

laplace transform

- 3 t

- \frac{3}{s ^{2}}

Solution steps

L {- 3 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)}

= - 3 L {t}

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

= - 3 \cdot \frac{1}{s ^{2}}

Refine

- 3 \frac{1}{s ^{2}} : - \frac{3}{s ^{2}}

= - \frac{3}{s ^{2}}

\frac{d}{d x} (\frac{2 x ^{5} + 3 x}{x ^{4}})

\int (5 x^{4}) d x

\int 3 x + \frac{1}{x} d x

\frac{df}{d s} = 12 s + \frac{5 s}{9 - s ^{2}}

x \to 0 lim (x^{n})