Question
Asked Nov 22, 2019
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use the laplace transform to solve 

1.2. Use the Laplace Transform to show that
+00
2e-aa dx
16a3
x=0
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1.2. Use the Laplace Transform to show that +00 2e-aa dx 16a3 x=0

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Expert Answer

Step 1

Consider the given integral function,

+0
x-0
Let x
2xdx dt
2idx = dt
dt
dx
2i
Sin ce, x2 t
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+0 x-0 Let x 2xdx dt 2idx = dt dt dx 2i Sin ce, x2 t

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Step 2

Now, the above integral...

dt
xedr te
27
x-0
t-0
+0
-co
2 -0
By definition of the Laplace transform
L(f))=ef(0)dt=F(s)
0
here,f(t
and s a
1
2 r0
2
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dt xedr te 27 x-0 t-0 +0 -co 2 -0 By definition of the Laplace transform L(f))=ef(0)dt=F(s) 0 here,f(t and s a 1 2 r0 2

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