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Math Help - classifying differential equations

  1. #1
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    classifying differential equations

    Hi all,

    I have four differential equations which I have attached as an expandable thumbnail.

    I want to classify them as either linear or non linear and as either initial or boundary value problems, and then state the order of each equation, and I really have no idea what things I am looking out for to do this!

    classifying differential equations-mhf2.png

    Iv never really encountered differential equations before, but im guessing that linear vs non linear is just whether there is a power higher than one for the variable or not?

    And that the order of the equation is just whether we use 1st, 2nd or 3rd derivative etc?

    Initial or boundary value problems im not sure about?

    Thanks!
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  2. #2
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    Re: classifying differential equations

    Hey sirellwood.

    Do you have a set of notes given to you by your lecturer/professor/teacher? Basically it's just a matter of reading the definitions and see which one fits.

    Basically me (or anyone else) would be regurgitating what would already exist in your notes if they are indeed there (which I'm inclined to believe is so).
    Thanks from sirellwood
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  3. #3
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    Re: classifying differential equations

    I dont have a set of notes as such. This is actually the first part of an MSc and im guessing is just pre-assumed that I would know it as there is no section covering this in my notes. Its been a few years since iv done any calculus and the definitions are a little hazy.

    fwiw, here is what I came up with from what I can remember:

    (i) second order, linear, boundary
    (ii) first order, linear, initial
    (iii) first order, non linear, boundary
    (iv)4th order, non linear, initial

    Does that look ok?
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