Question: Transform the differential equation 8 y + 4 9 y 3 2 y 1 9 6 y = 9 e 5 ty ( 0 )

Transform the differential equation8y+49y32y196y=9e5ty(0)=0y(0)=0y(0)=1into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y,(not Y(s)).
Therefore
Y=?
=(?)(1/s2)+(?)(1/s+2)+(?)(1/s+5)
Taking the inverse Laplace transform we get

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