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PDF-S.Ghorai2Solution:(ThiscanbesolvedbyreductionofordertechniquesinceY1=x

PDF-S.Ghorai2Solution:(ThiscanbesolvedbyreductionofordertechniquesinceY1=x

Author : danika-pritchard | Published Date : 2015-09-16

x2eR2x1x2dxdxxZ1 x21 1x2dx1xtan1xThustwoLIsolutionsareY1xandY21xtan1xHerepx2x1x2andqx21x2areanalyticatx0withcommonradiusofconvergenceR1Letyx1Xn0cnxnNowusin

x2eR2x=(1+x2)dxdx=xZ1 x21 1+x2dx=(1+xtan1x)Thus twoLIsolutionsareY1=xandY2=1+xtan1x)Herep(x)=2x=(1+x2)andq(x)=2=(1+x2)areanalyticatx=0withcommonradiusofconvergenceR=1.Lety(x)=1Xn=0cnxn:Nowusin

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