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Homework Help: Differential eq

  1. Apr 16, 2005 #1
    I'm having a little trouble with this differential equation. Usually I have no problem separating out the y's and the t's but this one is different:

    ty' - y = t^3 - 2t on (0, [itex]\infty[/itex])

    A little hep please?
  2. jcsd
  3. Apr 16, 2005 #2


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    Since [itex] t\neq 0 [/itex],u can, perform a division and obtain

    [tex]\frac{dy}{dt}-\frac{y}{t}=t^{2}-2 [/tex]

    Solve this nonhomogenous linear first order ODE,knowing that the homogenous equation is separable...

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