What is laplacetransform 2t^4 ?

The answer to laplacetransform 2t^4 is (48)/(s^5)

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laplacetransform 2t^4

laplace transform

2 t^{4}

\frac{48}{s ^{5}}

Solution steps

L {2 t^{4}}

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)}

= 2 L {t^{4}}

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

= 2 \cdot \frac{24}{s ^{5}}

Refine

2 \frac{24}{s ^{5}} : \frac{48}{s ^{5}}

= \frac{48}{s ^{5}}

x \frac{d y}{d x} = y + 2 x e^{- \frac{y}{x}}

\frac{6 s}{( s ^{2} - 8 s + 25 )}

\int \frac{6}{x ln ( 7 x )} d x

\frac{d y}{d x} = x - 2.5 y

1.5 (1 + e^{- 0.2 t})

What is laplacetransform 2t^4 ?
The answer to laplacetransform 2t^4 is (48)/(s^5)