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Differential Eqn Question

  • 23-08-2015 1:08pm
    #1
    doc_17
    Registered Users, Registered Users 2 Posts: 7,095 ✭✭✭


    Hi folks, just looking for a wee bit of help with a first order differential equation. Can I use the separation of variables with this?

    dy/dx - 3y/(x+1) = (x+1)^4


Comments

  • #2
    ride-the-spiral
    Registered Users, Registered Users 2 Posts: 1,263 ✭✭✭ride-the-spiral


    I don't think this is seperable. If you check
    http://tutorial.math.lamar.edu/Classes/DE/Separable.aspx
    it explains that to be seperable "all of the y's must multiply the derivative."

    This is an inhomogeneous ODE, so the solution will be the sum of solution to the homogeneous case and any solution to the inhomogeneous case. The homogeneous case is when the RHS is zero.

    dy/dx - 3y/(x+1) = 0

    Now this *can* be solved using seperation of variables. The harder part is inhomogeneous solution. You'll have to find the integrating factor to solve it.


  • #3
    gctest50
    Registered Users, Registered Users 2 Posts: 9,605 ✭✭✭gctest50


    AjggELr.jpg

    found dat might be useful to someone in the future looking at this thread


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