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Differential equation, Bernoulli's

  1. Sep 10, 2013 #1
    1. The problem statement, all variables and given/known data

    Hello everybody :) Now, I have a differential equation to solve. Its a Bernoulli's type of eq.


    2. Relevant equations

    (2x2lny-x)y' = y

    3. The attempt at a solution

    I tried of putting it in this way: y'/y = 1/2x2lny-x and then considerin z=1/y, but it doesnt seem to solve the problem, because the lny sort of gets in the way. Any help would be appreciated. Thanks :)
     
  2. jcsd
  3. Sep 10, 2013 #2

    vanhees71

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    2016 Award

    Substitute [itex]z=\ln y[/itex] into the equation. Hint: Evaluate the derivative [itex]z'[/itex] first!
     
  4. Sep 10, 2013 #3
    The only thing I hadn't tried :D Thanks a lot :D
     
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