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Homework Help: Basic Differential Equation

  1. Oct 5, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the explicit solution of dy/dx = 3y-3y2

    Be sure to include any singular solutions in your answer

    2. Relevant equations

    Not sure...

    3. The attempt at a solution

    dy/dx = 3y-3y2
    dy/(3y-3y2)=dx
    ∫(1/(3y-3y2))=(1/3)logy-(1/3)log(1-y)
    ∫(dx) = x + c

    x+c = (1/3)logy-(1/3)log(1-y)

    I'm really not even sure I'm on the right track here.

    Appreciate the help.
     
  2. jcsd
  3. Oct 5, 2012 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi Phox! :wink:
    Looks ok so far. :smile:

    Now do e-to-the to both sides, and solve for y. :wink:
     
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