Laplace Transform Homework Solutions Check

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SUMMARY

The discussion centers on verifying solutions to Laplace Transform homework problems. The first solution presented is Y(s) = (15s + 18)/(5s^2 + s - 2), which is confirmed correct by another participant. The second solution, Y(s) = (7s - 7iw + 1)/((s + 4)(5 - iw)), requires additional clarification and a request for the original work to ensure accuracy.

PREREQUISITES
  • Understanding of Laplace Transforms and their applications
  • Familiarity with complex numbers and their manipulation
  • Knowledge of polynomial factorization
  • Ability to interpret and solve differential equations
NEXT STEPS
  • Review the properties of Laplace Transforms in engineering contexts
  • Study the process of polynomial long division in the context of Laplace Transforms
  • Learn about the inverse Laplace Transform techniques
  • Explore the application of Laplace Transforms in solving ordinary differential equations
USEFUL FOR

Students studying engineering mathematics, particularly those focusing on control systems, differential equations, and Laplace Transform techniques.

noreturn2
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Homework Statement


gr9fpdM.png


Homework Equations

The Attempt at a Solution


1. I got Y(s) = (15s +18)/(5s^2+s-2)

2. I got Y(s) = (7s - 7iw + 1)/((s+4)(5 - iw))

Was just wanting to make sure I solved these right. I would type it out but without formating, it will look messy.
 

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noreturn2 said:

Homework Statement


View attachment 224321

Homework Equations

The Attempt at a Solution


1. I got Y(s) = (15s +18)/(5s^2+s-2)

2. I got Y(s) = (7s - 7iw + 1)/((s+4)(5 - iw))

Was just wanting to make sure I solved these right. I would type it out but without formating, it will look messy.
I got the same as what you have for #1. Can you show your work for #2?
 
a6fea26b-c651-45c7-a73f-078346d087d5
34DGTLn.png
 

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