# Laplace transformations

Not what you're looking for? Search our solutions OR ask your own Custom question.

Laplace Transformations

See attached for questions

Â© BrainMass Inc. brainmass.com November 30, 2021, 12:08 am ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/laplace-transformations-23064

#### Solution Preview

a) L [ Sin t / t ]

L[ Sin t ] = 1/(s^2+1)

Now, if f(t) <-----> F(s)

then, f(t)/t <-----> Integral (from s to Infinity) [F(s)ds]

So, L [ Sin t / t ] = Integral (from s to Infinity) [ds/(s^2+1)]

L [ Sin t / t ] = tan^-1 (1/s)...( "tan ...

#### Solution Summary

There area variety of Laplace transformations in this solution

$2.49