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Solving this diffEq

  1. Nov 6, 2011 #1
    1. The problem statement, all variables and given/known data

    I have the differential equation:

    x' = 2*x1/2

    3. The attempt at a solution

    I can see easily that the solution x = t2 satisfies the equation, however wolfram tells me the solution is:

    1/4 (4 t2 + 4 t C + C2)

    which also satisfies the solution... I'm wondering how do I solve this diffeq in order to get the solution Mathematic got?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 6, 2011 #2

    Mark44

    Staff: Mentor

    This DE is separable. Write it as
    dx/dt = 2x1/2
    => dx/(2x1/2) = dt

    Now integrate both sides. Don't forget the constant of integration.
     
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