Question

find the Laplace transform of sinh^3t
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Answer 1

Answer:

lt of sin 3t...............…...........…......

3/s2+9

Answer 2

Note - Question should be like, find the Laplace transform of sinh3t

Given,

Laplace transform of $\[\sinh 3t\]$.

Solution,

Know that,

$\[L\left( {sinhat} \right) = \frac{a}{{{s^2} - {a^2}}}\]$

$\[ = L\left( {\sinh 3t} \right)\]$

$\[ = \frac{3}{{{s^2} - {3^2}}}\]$

$\[ = \frac{3}{{{s^2} - 9}}\]$

Hence the Laplace transform is $\[\frac{3}{{{s^2} - 9}}\]$.