The function {t0≤t<1ett≥1 has the following Laplace transform, L(f(t))=∫01te−stdt+∫1∞e−(s+1)tdt True or False

sibuzwaW

sibuzwaW

Answered

2021-01-13

The function
{t0t<1ett1
has the following Laplace transform,
L(f(t))=01testdt+1e(s+1)tdt
True or False

Answer & Explanation

Nathanael Webber

Nathanael Webber

Expert

2021-01-14Added 117 answers

Step 1
Definition used -
Laplace transform of a function f(t) is given by -
F(s)=0f(t)estdt
Step 2
Given -
{t0t<1ett1
L(f(t))=0f(t)estdt
=01testdt+1etestdt
=01testdt+1e(1s)tdt
Step 3
Answer - So given Laplace transform is False for function.

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