Homogeneous Equations

Discussion in 'Math' started by full, Sep 28, 2014.

  1. full

    Thread Starter Member

    May 3, 2014
    225
    2
    Hello everyone,
    I do this problem from Homogeneous Equations ......
    but I don't know how I can complete the problem .... please help me
    and how I know my answer is true?
    thanks
     
  2. studiot

    AAC Fanatic!

    Nov 9, 2007
    5,005
    513
    Your strategy is correct, but

    Look again at your integration line.


    \int {\frac{{dv}}{{{v^3}}}}  + \int {\frac{{dv}}{v}}

    is not what you have.

    You add +1 to the index when you integrate or take the ln if the index is -1

    When you have the correct general solution you should be able to substitute back for v = y/x to obtain the general solution in terms of the original variables.
    Then it is a matter of applying the initial condition y(0)=2
     
    Last edited: Sep 28, 2014
    full likes this.
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