What is laplacetransform x^{7/2} ?

The answer to laplacetransform x^{7/2} is (105sqrt(pi))/(16s^{9/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform x^{7/2}

laplace transform

x^{\frac{7}{2}}

\frac{105 π}{16 s ^{\frac{9}{2}}}

Solution steps

L {x^{\frac{7}{2}}}

Use Laplace Transform table:

L {t^{n - 1/2}} = \frac{( 2 n - 1 ) !! π}{2 ^{n} s ^{n + 1/2}}

L {x^{\frac{7}{2}}} = \frac{105 π}{2 ^{4} s ^{\frac{9}{2}}}

= \frac{105 π}{2 ^{4} s ^{\frac{9}{2}}}

= \frac{105 π}{16 s ^{\frac{9}{2}}}

\frac{d}{d t} (t e^{- 2 t})

\frac{\partial}{\partial x} (cos (x^{2} + y^{2}))

\int (2400 x) 3 + 2 x d x

\frac{d}{d x} (4 + 2 x^{\frac{3}{2}})

What is laplacetransform x^{7/2} ?
The answer to laplacetransform x^{7/2} is (105sqrt(pi))/(16s^{9/2)}