Step by step solution to "Find L{9+6t} L{k}=ks L{t}=1s2"

Name: Find L{9+6t} L{k}=ks L{t}=1s2
Uploaded: 2022-02-23T17:22:57+00:00
Description: Find L{9+6t} L{k}=ks L{t}=1s2

Wribreeminsl

Answered question

2021-09-08

Find

L {9 + 6 t}

L {k} = \frac{k}{s}

L {t} = \frac{1}{s^{2}}

Answer & Explanation

doplovif

Skilled2021-09-09Added 71 answers

Step 1
Given
The given expression is $L {9 + 6 t}$
Apply Laplace transform formula
$L {k} = \frac{k}{s}$ , where k = constant
$L {t} = \frac{1}{s^{2}}$
Step 2
Calculation
$L {9 + 6 t}$
= $L {9} + L {6 t}$
$= \frac{9}{s} + \frac{6}{s^{2}}$
$= \frac{9 s + 6}{s^{2}}$
$= \frac{3 (3 s + 2)}{s^{2}}$
Hence, $L {9 + 6 t} = \frac{3 (3 s + 2)}{s^{2}}$

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