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

In summary, the conversation discusses differential equations and the importance of mastering calculus before attempting to understand them. The equations listed are examples of differential equations and it is recommended to first take four semesters of calculus and an introduction to DEs before attempting to fully comprehend them. The conversation also emphasizes the importance of perfect and clear mathematical writing in understanding DEs.
  • #1
ZeeshanParvez
1
0
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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  • #2
Please give more information. What are the variables involved? Where did you first encounter this equation? What book: title, author, page??
 
  • #3
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:

[tex]\frac{dx}{dt}=ax^3+bx+c[/tex]
 
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  • #4
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.
 
  • #5
Differential equations are the building, calculus is the hammer, algebra the nails.
 
  • #6
Integral said:
Differential equations are the building, calculus is the hammer, algebra the nails.

Love it.
 

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

Is this a differential equation and how can I tell?

A differential equation is an equation that involves an unknown function and its derivatives. To determine if an equation is a differential equation, look for the presence of derivatives (such as dy/dx or d²y/dx²) or an unknown function (such as y or f(x)). If these elements are present, then the equation is most likely a differential equation.

What do I need to know to solve a differential equation?

To solve a differential equation, you will need to have a strong understanding of calculus, particularly derivatives and integrals. You will also need to know how to manipulate equations algebraically and use techniques such as separation of variables and substitution. Familiarity with specific types of differential equations, such as first-order linear or second-order homogeneous equations, is also important.

Can I solve a differential equation without knowing the initial conditions?

No, in most cases, initial conditions are necessary to solve a differential equation. These initial conditions provide the starting values for the unknown function and its derivatives. Without this information, it is impossible to find a specific solution to the equation.

Are there any software programs that can solve differential equations for me?

Yes, there are many software programs and online tools available that can solve differential equations for you. Some popular options include Wolfram Alpha, Matlab, and Maple. However, it is still important to have a basic understanding of differential equations and their solutions in order to properly interpret and use the results from these programs.

Can I use differential equations in fields other than mathematics?

Yes, differential equations are used in a variety of fields, including physics, engineering, economics, and biology. They are a powerful tool for modeling and understanding various systems and processes in the natural and social sciences. Many real-world problems can be described and solved using differential equations, making them an important concept for scientists in all disciplines to understand.

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