How Do I Compute: L-1{(-8s+1)/(s2-s-30)}


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How do i compute: L-1{(-8s+1)/(s2-s-30)}


Answer No.1


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To solve this problem, you have to first factor the denominatorwhich comes out to be (s-6)(s+5) . Next, we must usepartial fraction decomposition in which we have: (1-8s)/[(s-6)(s+5)] = A/(s-6) + B/(s+5) Solve for A and B. Just for you to check, you should get A= -47/11and B= -41/11. Now, take the laplace inverse of these twofractions, which is in the form of e^(ax). I hope this helps. Please don't forget to rate me.

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