For each of the following differential equations do the following: Identifyp(x)andq(x)and, from them, determine the least possible guaranteed radius of convergence of power series solutions about the specified pointx0;seeking a power series solution form, about that point, obtain the recursion formula and the first four nonvanishing terms in the power series fory1(x) andy2(x); verify thaty1, y2are LI.
y″− (1 +x2)y= 0, xo = 0
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