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Math Help - Integration

  1. #1
    Newbie
    Joined
    Nov 2009
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    1

    Integration

    I am trying to find the general solution of

    dy/dx=y^2(1-y)

    So far I have rearranged to get 1/dx=y^2(1-y).dy

    And have managed to integrate the RHS but, how would I go about integrating the 1/dx part?
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  2. #2
    Junior Member
    Joined
    Nov 2009
    Posts
    69
    First, move the dx to the other side:
     dy = y^2 (1 - y) dx .

    Then put all the y's on the side with the dy:
     \frac{dy}{y^2(1-y)} = dx .

    Now you can integrate both sides. The LHS can be integrated after a partial fraction decomposition.
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