Differential Equations-Eulers Method

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SUMMARY

The discussion centers on the application of Euler's Method for solving differential equations, specifically in the context of a homework problem involving temperature change. The user attempts to set up the equation T(1)= 100 + 0.1(1)(70-100) but expresses uncertainty about its correctness. A key question raised is the definition and units of 'h', which is crucial for the implementation of Euler's Method.

PREREQUISITES
  • Understanding of differential equations
  • Familiarity with Euler's Method
  • Basic knowledge of numerical analysis
  • Concept of step size in numerical methods
NEXT STEPS
  • Research the definition and significance of the step size 'h' in Euler's Method
  • Study examples of Euler's Method applied to various differential equations
  • Explore error analysis in numerical methods for differential equations
  • Learn about alternative numerical methods, such as Runge-Kutta methods
USEFUL FOR

Students studying calculus or numerical methods, educators teaching differential equations, and anyone looking to deepen their understanding of Euler's Method in practical applications.

jawhnay
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Homework Statement


[URL=http://imageshack.us/photo/my-images/860/64863644.png/][IMG=http://img860.imageshack.us/img860/4563/64863644.png][/URL] Uploaded with ImageShack.us[/PLAIN]

Homework Equations

The Attempt at a Solution


I'm having trouble setting up the equation. This is how I set it up, but I'm not sure if it's correct.
T(1)= 100 + 0.1(1)(70-100)

Sorry about the link. It was kind of long and I needed an answer fast so I didn't want to waste time typing the question.
 
Last edited:
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Thats definitely the basic idea. What are the units of 'h' ? (How is 'h' defined?)
 

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