Question: $$ (3 points) Consider the IVP $2 y^{prime prime) -4 x y=0, quad y(0)=-1, quad y^{prime} (0)=2$. We seek a power series solution centered at

$$ (3 points) Consider the IVP $2 y^{\prime \prime) -4 x y=0, quad y(0)=-1, \quad y^{\prime} (0)=2$. We seek a power series solution centered at $x=0$. Then, the recurrence relation of the solution is given by C_{k+2}=\square \times c_{k-1}, \quad k=1,2,3, \ldots $$ The coefficients of the first five terms of the solution are: $$ \begin{array}{1} C_{0}=\square, c_{1}=\square, c_{2}=\square 1 C_{3}=\square, c_{4}=\square \end{array} $$CS.SD.050
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