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: Differential Equation

  1. Oct 29, 2008 #1
    URGENT: Differential Equation

    1. The problem statement, all variables and given/known data
    Use suitable substitutions to solve the following equation:

    y' + xy = y^3


    2. Relevant equations

    dy/dx + P(x)y = Q(x)

    I(x) = e^(integral(P(x)dx)

    y = (Integral of(I(x)Q(x)))/I(x)

    3. The attempt at a solution

    dy/dx + xy = y^3

    P(x) = x, Q(x) = y^3

    I(x) = e^((x^2)/2)

    y = (integral of (e^((x^2)/2))*y^3)/(e^((x^2)/2))

    **This is not a multi-variable calculus class.
     
  2. jcsd
  3. Oct 29, 2008 #2
    Re: URGENT: Differential Equation

    Hello, my professor just replied regarding this question, I no longer need help. Thanks though!
     
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