Help with differential equations regarding even/odd functions, IVT

  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. HallsofIvy

    HallsofIvy 41,262
    Staff Emeritus
    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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