Consider the differential equation (1 - 2?)?f"(T) – 22(1 – 2?)f' () + (1+1)(1 – ?) - m] f(1) = 0, where both / and m are

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Consider The Differential Equation 1 2 F T 22 1 2 F 1 1 1 M F 1 0 Where Both And M Are 1 (23.18 KiB) Viewed 109 times

Consider the differential equation (1 - 2?)?f"(T) – 22(1 – 2?)f' () + (1+1)(1 – ?) - m] f(1) = 0, where both / and m are positive integers. Assuming the solution to be an- alytical, find the recurrence relation that the coefficients an of the power series must satisfy. (Hint: the result will be a three-terms recurrence re- lation.) [10] Imposing the boundary conditions ao = A and a1 = B, write 02, 03, 04, and a5. (Hint: an is always zero when n <0.) [5]