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Solving a Bernoulli differential equation

  1. Apr 25, 2013 #1
    Hello!

    I'm stuck at the moment with this differential equation. I've been trying to use the method for solving these equations, but my answer is not correct according to my book. Could anyone please explain what I'm doing wrong? Thanks!

    WkjWSEE.png
     
  2. jcsd
  3. Apr 25, 2013 #2
    Hi !
    see attachment
     

    Attached Files:

  4. Apr 26, 2013 #3
    Hi and thanks for your reply =)

    A stupid mistake from my side, I changed it up and the only difference in the answer is that te^-t is now -te^-t. Still, the book doesnt agree with me unless they have the answer on some wierd form. I also checked wolfram, they gave me this answer:

    WJ6eFxI.gif

    What exactly did they do to simplify it like that?
     
  5. Apr 26, 2013 #4
    Where is the problem after the correction of sign ?
     

    Attached Files:

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