Application of Differential Equation: Using the Laplace transform to solve the circuit

May 17, 2024May 17, 2024 Discipline: Mathematics

Subject: Application of Differential Equation 

Description: Pick the math topic that we learned in class, and research it. Please include abstract, introduction, methodology (Proof of equation and show the method), conclusion, and references. 


Follow the MLA style, and provide the references. 


Instruction: 


A. Abtract:  
Big picture problem or topic widely debated in your field.  
The gap in the literature on this topic. Your project filling the gap.  
The specific material that you examine in this project. Your original argument (hypothesis). Strong concluding sentence.

B. Introduction:
Big picture about Differential Equation and their application on the topic that you choose. 
Explain the Laplace Transform equation (provide the equation and explain the term)
C. Methodology 
Show the equation and how it involves into the topic that you choose. 
Show the data and any graph relate to equation. 
Explain why using this equation can solve the problem.
Show the step by step.
D. Conclusion
Summary the topic and how the equation can help you relate to the topic that you choose. 
Please see the sample to understand more. 


Topic: Using the Laplace transform to solve the circuit


Resource and Proof of equation


  1. hsu-Chapter 6 Laplace transform.pdf (sjsu.edu)

  2. Thiagarajan.pdf (uchicago.edu) (Page 5)

You can use other outside resources. 

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