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Take the Laplace transform the following initial value problem and solve for Y(s)=L{y(t)} y”-6y’-27y={1, 0<=t<1 ; 0,...

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Advance Math


Take the Laplace transform the following initial value problemand solve for Y(s)=L{y(t)}
y”-6y’-27y={1, 0<=t<1 ; 0, 1<=t
y(0)=0, y’(0)=0
Y(s)=?
Now find the inverse transform to find y(t)=?
Note:1/[s(s-9)(s+3)]=(-1/27)/s+(1/36)/(s+3)+(1/108)/(s-9)

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