Question: Consider the following differential equation to be solved using a power series.y''+8xy'+8y =0Using the substitutiony =n =0cnxn,find an expressionck +2in terms ofckfork =1,2,3.ck +2=Find two

Consider the following differential equation to be solved using a power series.y''+8xy'+8y =0Using the substitutiony =n =0cnxn,find an expressionck +2in terms ofckfork =1,2,3.ck +2=Find two power series solutions of the given differential equation about the ordinary point x =0.y1=14x28x4323x6...andy2= x 83x3+6415x5512105x7+...y1=14x2+8x4323x6+...andy2= x 83x3+6415x5512105x7+...y1=1+4x28x4+323x6+...andy2= x 83x3+6415x5512105x7+...y1=14x28x4323x6...andy2= x +83x3+6415x5+512105x7+...y1=14x2+8x4323x6...andy2= x +83x3+6415x5+512105x7+...

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