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Difference Between Standard and Improved Eulers Methods Discussion Question

Overview

Choose 1 question below to respond to that hasn't already been chosen yet. Once all questions have one answer, you may choose to respond to any question. (you can choose Q#2 or Q#5. others are done by other students. Please check the pic for clearing numbering) 

Hello,

I am somewhat familiar with ODEs, and am also a physics student. While taking linear algebra alongside physics, I can imagine a variety of different applications of linear algebra to physical problems. The versatility of vectors is but one tool that linear algebra can supply in that field. However, I am somewhat unable to find a physical application of differential equations, though I am sure it exists. Can you please supply and explain one?

Thank you! ~ Lavie

One topic that I'd like to learn more about are the applications of Euler's method inside of differential equations. I'd also like to learn more about the difference between the standard Euler's method and the improved Euler's method. ~ Bastiaan

I would like to learn more about differential equations used in electrical engineering. I had completed a circuits course in UC Davis, which showed me for first order and second order differential equations along with linear algebra can be solved for the circuits. I would like to know more about its applications on that way.

I would also like to request a student in the MATH2A class to teach me more about Cauchy-Euler Equations and its application in real-life.~ Lisa

Please describe what variation of parameters is. ~ Will

What is the Wronskian? and what are a cool applications for concept? ~Nitzan

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