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Ricatti Differential Equation

  1. Jan 27, 2013 #1
    1. The problem statement, all variables and given/known data
    This is a Riccatti Equation which my answer is very weird after i solved it..
    dy/dx+2y^2=(y/x lnx)+2(ln x)^2 where y=ln x is a particular solution


    2. Relevant equations


    3. The attempt at a solution

    i first let y=ln x+ 1/w
    and dy/dx=1/x-1/w^2
    and substitute y and dy/dx into it place and form a ricatti equation, transforming it into bernoulli and linear equation... but the integrating factor is very very long and complicated...
     
  2. jcsd
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