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Solving Differential Equations is not always a trivial matter. As you have seen thus far some techniques are more fruitful than others due to the internal structure of a given differential equation. In this section, you will be presented with a “powerful” procedure for solving differential equations using power series.
\(A(x)=\displaystyle\sum_{n=0}^{\infty}a_nx^n\)
To employ this technique you may wish to review some commonly used Power Series.
Find two power series solutions for the given differential equation about the ordinary point \(x=0\).
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