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Homework Help: Though Calculus Problem

  1. Oct 22, 2008 #1
    1. The problem statement, all variables and given/known data
    find f(x) satisfying the equation:

    f'(x)f(x)=f'(x)+f(x)+2x^3+2x^2-1


    2. Relevant equations



    3. The attempt at a solution

    I have the general idea of what to do but need to know if f(x) is a degree 2 polynomial for this problem to work. I assume it is so you can get to a third power through multiplying f(x) by f'(x), and after that you just make many substitutions. Am I on the right track?
     
  2. jcsd
  3. Oct 22, 2008 #2
    I worked it out and it seems to be a=1, b=1, c=1 so f(x)=x^2+x+1 and f'(x)=2x+1. it seems to work out when plugged in, can anyone confirm this
     
  4. Oct 22, 2008 #3
    confirmed!
     
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