If y=a cos⁡(log⁡x)+b sin⁡(log⁡x) prove that x^2 y2+xy1+y=0

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If y = a cos(log x) + b sin(log x). Prove that x² y2 + x y1 + y = 0 If y = a cos(log x) + b sin(log x). Prove that x² y2 + x y1 + y = 0
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If y=acos(logx)+bsin(logx) then proof x^2y2+xy1+y=0 and x^2yn+2+(2n+1)xyn+1+(n^2+1)yn=0. If y=acos(logx)+bsin(logx) then proof x^2y2+xy1+y=0 and x^2yn+2+(2n+1)xyn+1+(n^2+1)yn=0.
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If y=a.cos(logx)+b.sin(logx), show that x²y2+xy1+y=0 and x2yn+2+(2n+1)xyn+1+(n²+1)yn=0 If y=a.cos(logx)+b.sin(logx), show that x²y2+xy1+y=0 and x2yn+2+(2n+1)xyn+1+(n²+1)yn=0