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  3. take the laplace transform of the following initia

Take the Laplace transform of the following initial value and solve for X(s)=L{x(t)}X(s)=L{x(t)}: x′′+16x={sin(πt),0} 0≤t<1 1≤t x(0)=0 x′(0)=0. a) X(s)=   Now find the...

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Basic Math

Take the Laplace transform of the following initial value andsolve for X(s)=L{x(t)}X(s)=L{x(t)}:

x′′+16x={sin(πt),0}

0≤t<1

1≤t

x(0)=0

x′(0)=0.

a) X(s)=  

Now find the inverse transform to find

b) x(t)=

Use u(t−a) for the Heaviside function shifted a unitshorizontaly.

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