Is the Laplace Transform Calculation Correct for a Given Function?

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SUMMARY

The discussion centers on the accuracy of a Laplace Transform calculation involving the function sin(5t). A participant acknowledged an error in changing sin(5t) to cos(5t) and sought confirmation on the correctness of the remaining calculations. The consensus indicates that the initial transformation was incorrect, but the subsequent calculations based on sin(5t) were accurate. This highlights the importance of maintaining consistency in function representation during mathematical transformations.

PREREQUISITES
  • Understanding of Laplace Transform principles
  • Familiarity with trigonometric functions, specifically sine and cosine
  • Basic knowledge of calculus and differential equations
  • Experience with mathematical notation and transformations
NEXT STEPS
  • Review the properties of the Laplace Transform
  • Study the relationship between sine and cosine functions in transformations
  • Practice solving differential equations using Laplace Transforms
  • Explore common mistakes in Laplace Transform calculations
USEFUL FOR

Students and professionals in engineering, mathematics, and physics who are working with Laplace Transforms and require a solid understanding of trigonometric functions in their calculations.

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i made an oopsie :) thanks for pointing that out. is the rest of it correct though? because i did the rest of the work with sin. not cos
 

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