What is laplacetransform (t^4)/7 ?

The answer to laplacetransform (t^4)/7 is (24)/(7s^5)

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laplacetransform (t^4)/7

laplace transform

\frac{t ^{4}}{7}

\frac{24}{7 s ^{5}}

Solution steps

L {\frac{t ^{4}}{7}}

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)}

= \frac{1}{7} L {t^{4}}

L {t^{4}} : \frac{24}{s ^{5}}

= \frac{1}{7} \cdot \frac{24}{s ^{5}}

Refine

\frac{1}{7} \frac{24}{s ^{5}} : \frac{24}{7 s ^{5}}

= \frac{24}{7 s ^{5}}

\int \frac{1}{e ^{5 y}} d y

\frac{4 s + 1}{s ^{3} - 3 s ^{2} + 3 s - 1}

\frac{( 10 s - 3 )}{s ^{2} - 4 s - 29}

What is laplacetransform (t^4)/7 ?
The answer to laplacetransform (t^4)/7 is (24)/(7s^5)