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Integrating factor

  1. Nov 16, 2011 #1
    I keep struggling to find a solution to this IVP. We are supposed to use integrating factors

    y'-(1/t)y=8t^2+te^t
    t>0, y(1)=6

    I get an integrating factor of (1/t) and general solution of y=4t^3+te^t+c but then i get e+2 for c. This doesn't seem correct to me, any suggestions?
     
  2. jcsd
  3. Nov 16, 2011 #2

    lurflurf

    User Avatar
    Homework Helper

    That should be y=4t^3+te^t+c t
     
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