Solved: In 13 and 14 verify by direct substitution that
Chapter 6, Problem 34E(choose chapter or problem)
In Problems 31–34 verify by direct substitution that the given power series is a solution of the indicated differential equation. [Hint: For a power \(x^{2 n+1} \text { let } k=n+1\).]
\(y=\sum_{n=0}^{\infty} \frac{(-1)^{n}}{2^{2 n}(n !)^{2}} x^{2 n}, \quad x y^{\prime \prime}+y^{\prime}+x y=0\)
Text Transcription:
x^2n+1letk=n+1
y=sum_n=0^inftyfrac(-1)^n2^2n(n!)^2x^2n,xy^prime\prime+y^prime+x y=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