Even though x = 0 is an ordinary point of the differential
Chapter , Problem 18RP(choose chapter or problem)
Even though x = 0 is an ordinary point of the differential equation, explain why it is not a good idea to try to find a solution of the IV
\(y^{\prime \prime}+x y^{\prime}+y=0, \quad y(1)=-6, \quad y^{\prime}(1)=3\)
of the form \(y=\sum_{n=0}^{\infty} c_{n} x^{n}\) Using power series, find a better way to solve the problem.
Text Transcription:
y^prime\prime+xy^prime+y=0,y(1)=-6,y^prime(1)=3y=sum_n=0^inftyc_nx^n
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