(Step-by-Step) Find the solution φ of y^prime \prime+(x-1)^2 y^prime-x y=0, in the form φ(x)=∑_k=0^∞ c_k(x-1)^k which satisfies φ(1)=1,
Question: Find the solution \(\phi\) of
\[y^{\prime \prime}+(x-1)^{2} y^{\prime}-x y=0,\]in the form
\[\phi(x)=\sum_{k=0}^{\infty} c_{k}(x-1)^{k}\]which satisfies \(\phi(1)=1, \phi^{\prime}(1)=2\)
Deliverable: Word Document 
(Solution Library) s (a.) through (e.) indicate how properties
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(Solution Library) Use the given change of variables to transform
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