If y=a.cos(logx)+b.sin(logx), show that x^2y2+xy1+y=0 and x^2yn+2+(2n+1)xyn+1+(n^2+1)yn=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.
3. LEIBNITZ 3. LEIBNITZ'S THEOREM | PROBLEM #2 | DIFFERENTIAL CALCULUS
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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
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If y=a cos(logx)+b sin(logx) ; prove that x^2yn+2 + (2n+1)xyn+1 + (n^2+1)yn=0||Using Leibnitz thm.. If y=a cos(logx)+b sin(logx) ; prove that x^2yn+2 + (2n+1)xyn+1 + (n^2+1)yn=0||Using Leibnitz thm..