Recent content by jahnybrew

  1. J

    Homogeneous Differential Equation with Initial Conditions

    hi, I'm not entirely sure how to apply them. all we have learned so far is the Wronskian that checks for linear independence..? The theorems in the book are, 1. if p(x), q(x) are continuous functions on I and x is in I, then the IVP hasa unique solution y(x) on I. 2. Suppose the IVP...
  2. J

    Homogeneous Differential Equation with Initial Conditions

    Hi guys, I've been out of the loop with differentials for some time, and was hoping to get some direction with these.. Given that: (x^2)y" + 2x(x-1)y' - 2(x-1)y = 0 A) Explain why the general theory doesn't guarantee a unique soln to the equation satisfying the initial conditions y(0)...
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