consider the eqn \( L(y)=x^{2} y^{\prime \prime}+\frac{3}{2} x y^{\prime}+x y=0 \) this eqn has a regular singular point at \( x=0 \). This is not an euler eqn we cannot except it to have a sin of the form \( x^{r} \) \( \left(\phi(x)=x^{r} \sum_{k=0}^{\infty} c_{k} x^{k}\right) \) \( \sin : \)
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