- #1

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## Homework Statement

The condition to be satisfied for a Laplace transform is U(t)<Me

^{kt}

## Homework Equations

I am trying to proove that e

^{t2}does not satisfy this

## The Attempt at a Solution

It was suggested that we try taking logarithms of both side:

t

^{2}<ln(Me

^{kt})

t

^{2}<lnM+lne

^{kt}

t

^{2}<lnM+kt

t

^{2}-kt<ln M

I dont think this shows anything?!