Solution Found!
In 11–18, find at least the first four nonzero terms in a
Chapter 8, Problem 11E(choose chapter or problem)
QUESTION:
In Problems 11–18, find at least the first four nonzero terms in a power series expansion about \(x=0\) for a general solution to the given differential equation.
\(y^{\prime}+(x+2) y=0\)
Questions & Answers
QUESTION:
In Problems 11–18, find at least the first four nonzero terms in a power series expansion about \(x=0\) for a general solution to the given differential equation.
\(y^{\prime}+(x+2) y=0\)
ANSWER:
Step 1 of 3
\(y'+(x+2)y=0\)
\(y=\sum_{n=0}^{\infty}{a_nx^{n}}\)
\(y=a_o+a_1x+a_2x^2+a_3x^3+....\)
\(y'=\sum_{n=1}^{\infty}{na_nx^{n-1}}\)
\(y'=a_1+2a_2x+3a_3x^2+....\)