Is this a differential equation and what do I need to be able to

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Discussion Overview

The discussion revolves around whether certain equations are classified as differential equations and what level of calculus knowledge is necessary to understand them. The scope includes conceptual understanding and the prerequisites for studying differential equations.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants question if the provided equations are differential equations and seek clarification on the variables involved and the context of their origin.
  • One participant emphasizes the importance of mastering calculus before approaching differential equations, suggesting a structured learning path with multiple semesters of calculus and practice.
  • Another participant notes the complexity of differential equations, indicating that even simple calculus concepts can become challenging when applied in this context.
  • There is a metaphorical comparison made by participants, likening differential equations to a building, calculus to a hammer, and algebra to nails, suggesting a hierarchy of mathematical concepts.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of a strong foundation in calculus to understand differential equations, but there is no consensus on the classification of the specific equations presented or their context.

Contextual Notes

Some assumptions about the equations and their variables are not clearly defined, and the notation used is described as illegible by one participant, which may contribute to the confusion regarding their classification.

ZeeshanParvez
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Are the equations listed below differential equations?

If so, to understand them what level of calculus do I need? I only did alegbra 2 in high school.

Δ Wi = η * (D-Y).Ii
I(n,EF)=OF(n,EF)*I(n-1,EF)
I(1,EF)=OF(1,EF)
 
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Please give more information. What are the variables involved? Where did you first encounter this equation? What book: title, author, page??
 
ZeeshanParvez said:
Are the equations listed below differential equations?

If so, to understand them what level of calculus do I need? I only did alegbra 2 in high school.

Δ Wi = η * (D-Y).Ii
I(n,EF)=OF(n,EF)*I(n-1,EF)
I(1,EF)=OF(1,EF)

You're putting the cart way before the horse and your notation is illegble too. And I don't blame you for wanting to know about differential equations since through them lie the secrets to the Universe. But you have to approach this in the correct sequence: You have to master Calculus first so take four semesters of it using a big fat textbook and work all the problems and do strive to write your math perfect in every detail so there's no ambiguity about what is being said. Then take an introduction into DEs and do the same: do all the problems and improve your writing style. Always, always strive to write your math perfect and beautiful and then begin to understand how the world really works through DEs. And when you've studied them for a while, remember me asking you how the following equation might model the creation of a Universe:

\frac{dx}{dt}=ax^3+bx+c
 
Last edited:
I'm currently taking my first DE class, and yes it is fascinating, but take heed friend. Remember EVERYTHING! As soon as you forget it, it shows up in trying to solve a differential equations. I've had homework problems that have one line of calculus and half a page of algebra.
 
Differential equations are the building, calculus is the hammer, algebra the nails.
 
Integral said:
Differential equations are the building, calculus is the hammer, algebra the nails.

Love it.
 

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