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Help with differential equations regarding even/odd functions, IVT

  1. Oct 20, 2011 #1
    Here's the problem i need help on. It can be found in Nagle's Differential Equations 8th edition chapter 8.3 number 32.


    i first tried to solve this using the power series and got:
    a(k+2) = 2ak/(k+2)

    after this, i have no idea how to solve a-d. any help will be greatly appreciated. I have my test tomorrow so please be urgent!!
  2. jcsd
  3. Oct 21, 2011 #2


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    Science Advisor

    You got more than that didn't you? What you give tells us only the coefficients with even index. What did you get for [itex]a_k[/itex] with k odd?
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