Ordinary Differential Equation (separation by variable)

Discussion in 'Math' started by Lightfire, May 15, 2014.

  1. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    Hello,

    I have written my solution to a Microsoft Word's file because I use MathType and it is very easy to just transfer equations from MathType to Words.

    I just want to check whether my solution is correct because I don't know how to check it using WolframAlpha. I used WolframAlpha to check if my works are correct in other math-related stuffs but when I input differential equation stuffs, I don't understand the answer produced.

    Thank you for your patience. The solution is attached.

    EDIT 1:

    In diffeq prob 1.pdf,

    Problem 2 no.8

    Final Answer can be y=Ce(x^3/3)-1 .
     
  2. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    Can anyone validate please?

    Thanka bunch.
     
  3. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    I have convert it into image format:

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  4. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    [​IMG]

    Thank you very much!!!!
     
  5. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    I just want to bump this, pardon if it is not allowed by any existing laws of AAC.
     
  6. WBahn

    Moderator

    Mar 31, 2012
    17,757
    4,800
    You need to learn how to check your own work. The solutions to many/most math/engineering problems can be validated starting from the solution itself.

    So take your first problem. You have two proposed solutions. For each one, take the solution and plug it into the original problem. Do both solutions work? If yes, then you are good to go (though you may have missed additional solutions). If not, then you are wrong. If you are wrong, the exercise of checking the proposed solution will often provide some insight into why that solution is wrong which may give you hints as to what to look for in your work that went astray.
     
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