What is laplacetransform (25t)((t^2)/(25)) ?

The answer to laplacetransform (25t)((t^2)/(25)) is 6/(s^4)

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laplacetransform (25t)((t^2)/(25))

laplace transform

(25 t) (\frac{t ^{2}}{25})

\frac{6}{s ^{4}}

Solution steps

L {(\frac{t ^{2}}{25}) (25 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)}

= 25 L {t \frac{t ^{2}}{25}}

L {t \frac{t ^{2}}{25}} : \frac{6}{25 s ^{4}}

= 25 \cdot \frac{6}{25 s ^{4}}

Refine

25 \frac{6}{25 s ^{4}} : \frac{6}{s ^{4}}

= \frac{6}{s ^{4}}

y = (x^{2} + sin (x))^{3}

\int (0.8 x + \frac{1}{6 0 ^{2}})^{- \frac{1}{2}} d x

\int_{- 1}^{3} \frac{1}{5} x^{3} d x

f (x) = 3 arcsin (x), at x = \frac{1}{2}

What is laplacetransform (25t)((t^2)/(25)) ?
The answer to laplacetransform (25t)((t^2)/(25)) is 6/(s^4)