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

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

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

laplace transform

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

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

Solution steps

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

L {t (\frac{t}{25})^{2}} : \frac{6}{625 s ^{4}}

= 25 \cdot \frac{6}{625 s ^{4}}

Refine

25 \frac{6}{625 s ^{4}} : \frac{6}{25 s ^{4}}

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

\frac{d}{d x} (x^{2} + \frac{1}{2 x} - 3 x)

n = 0 \sum \infty \frac{1}{2 ( 2 ) ^{n}}

\int tan^{2} (6 t) d t

x^{\frac{3}{7}}

\frac{d y}{d x} + \frac{4 y}{x} = - 3 x

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