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A Wronskian- variation of Params Problem

  1. Nov 23, 2016 #1
    1. The problem statement, all variables and given/known data
    y''-4y'+4y=(12e^2x)/(x^4)
    I am trying to solve this differential equation. I know you would use the variation of parameters method, and I am trouble with the wronskian. My solution manual doesn't actually use a wronskian so I can't verify my work

    2. Relevant equations


    3. The attempt at a solution
    I end up with w=e^4x
    w1=(-12e^4x)/(x^3)
    w2=(12e^4x)/(x^4)
    But at this point the integrals for u1 and u2 seem rather impossible.
     
  2. jcsd
  3. Nov 23, 2016 #2

    ehild

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    Your Wronskian w=e4x is correct. but what are W1 and W2? What equations do you get for the derivative of the "constants"?
     
    Last edited: Nov 23, 2016
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