4xy''+2y'+y=0
i found r1 = 0 and r2 = 1/2
for r=0 i found the recurrence relation to be:
C(sub n) = -C(sub n-1)/(2n(2n-1))
with C(sub n) and C(sub n-1) meaning C with the subscripts n and n-1 (respectively).
I need help with the next part, which is plugging in values of "n" to find a general form for odd numbers and even numbers. I've tried doing both, but I can't find a pattern. Please let me know if I need to explain more thoroughly. Thank you.
i found r1 = 0 and r2 = 1/2
for r=0 i found the recurrence relation to be:
C(sub n) = -C(sub n-1)/(2n(2n-1))
with C(sub n) and C(sub n-1) meaning C with the subscripts n and n-1 (respectively).
I need help with the next part, which is plugging in values of "n" to find a general form for odd numbers and even numbers. I've tried doing both, but I can't find a pattern. Please let me know if I need to explain more thoroughly. Thank you.