Verifying that a Series Converges In Exercises 2326, verify that the series converges to
Chapter 16, Problem 26(choose chapter or problem)
Verifying that a Series Converges In Exercises 23-26, verify that the series converges to the given function on the indicated interval. (Hint:Use the given differential equation.)
\(\sum_{n=0}^{\infty} \frac{(2 n) ! x^{2 n+1}}{\left(2^{n} n !\right)^{2}(2 n+1)}=\arcsin x,(-1,1)\)
Differential equation: \(\left(1-x^{2}\right) y^{\prime \prime}-x y^{\prime}=0\)
Text Description:
Sum_n=0^infinity (2n)!x^2n+1/(2^n n!)^2 (2n+1)=arcsin x, (-1, 1)
(1-x^2)y’’ - xy’=0
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer