What is laplacetransform t^{3/2} ?

The answer to laplacetransform t^{3/2} is (3sqrt(pi))/(4s^{5/2)}

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laplacetransform t^{3/2}

laplace transform

t^{\frac{3}{2}}

\frac{3 π}{4 s ^{\frac{5}{2}}}

Solution steps

L {t^{\frac{3}{2}}}

Use Laplace Transform table:

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

L {t^{\frac{3}{2}}} = \frac{3 π}{2 ^{2} s ^{\frac{5}{2}}}

= \frac{3 π}{2 ^{2} s ^{\frac{5}{2}}}

= \frac{3 π}{4 s ^{\frac{5}{2}}}

y = \frac{3}{2} x, y = 7 - x^{2}

\int \frac{t}{3 t ^{2} + 9} d t

y^{^{'}} = 8 y^{2}

\int t sec (t) tan (t) d t

\int_{2}^{\infty} e^{- 5 p} d p

What is laplacetransform t^{3/2} ?
The answer to laplacetransform t^{3/2} is (3sqrt(pi))/(4s^{5/2)}