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Separable differential equation

  1. Sep 25, 2016 #1
    1. The problem statement, all variables and given/known data
    Solve each of the following differential equations:
    4xydx + (x2 +1)dy=0


    2. Relevant equations
    None

    3. The attempt at a solution
    4xydx + (x2 +1)dy=0
    (x2 +1)dy=-4xydx
    dy/y=-(4xdx)/(x2 +1)
    ∫dy/y=∫-(4xdx)/(x2 +1)
    ln|y|=-2ln|x2+1| +C

    used u-sub on last step fo u=x2 +1
     
  2. jcsd
  3. Sep 25, 2016 #2

    Mark44

    Staff: Mentor

    Do you have a question?
    Your work looks fine to me, but you need to take it one step further and solve for y as a function of x.

    After that, check your solution by verifying that it satisifies the original DE.
     
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