What is laplacetransform-8t^6 ?

The answer to laplacetransform-8t^6 is -(5760)/(s^7)

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laplacetransform-8t^6

laplace transform

- 8 t^{6}

- \frac{5760}{s ^{7}}

Solution steps

L {- 8 t^{6}}

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)}

= - 8 L {t^{6}}

L {t^{6}} : \frac{720}{s ^{7}}

= - 8 \cdot \frac{720}{s ^{7}}

Refine

- 8 \frac{720}{s ^{7}} : - \frac{5760}{s ^{7}}

= - \frac{5760}{s ^{7}}

y^{^{''}} - 5 y^{^{'}} + 6 y = 3 e^{2 x}

\int_{0}^{1} e^{x} - x e^{x^{2}} d x

\int \frac{x}{x - 1} d x

ln (1 + \frac{1}{x})

\frac{d y}{d x} = \frac{( x ^{3} - 2 y )}{x}

What is laplacetransform-8t^6 ?
The answer to laplacetransform-8t^6 is -(5760)/(s^7)