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Non-exact differential equation

  1. Jan 20, 2013 #1
    the problem is (x+x^4)dy+y(y^3-x^3)dx=0
    well I know that this is not a separable equation, homogenous equation or an exact equation...so i try to solve it by treating it as a non exact DE by finding out the integrating factor...but the both IF come out in term of x and y which involve 2 variables where by IF must only has one variable.....
    Last edited: Jan 20, 2013
  2. jcsd
  3. Jan 20, 2013 #2
    Hi !
    The pattern of the ODE makes think to a change of variables : X=x^3 and Y=y^3, which leads to a Riccati ODE.

    Attached Files:

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  4. Jan 27, 2013 #3
    thank god...u really help me very much :D :D
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