If y=Acos(logx)+\ Bsin(logx) , prove tha...

If `y=Acos(logx)+\ Bsin(logx)` , prove that `x^2\ (d^2y)/(dx^2)+x(dy)/(dx)+y=0` .

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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions

If y=Acosn x+Bsinn x , show that (d^2y)/(dx^2)+n^2\ y=0 .
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If y=Acos(logx)+\ Bsin(logx) , prove that x^2\ (d^2y)/(dx^2)+x(dy)/(dx...
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If y={x+sqrt(x^2+1)}^m , show that (x^2+1)y2+x y1-m^2\ y=0
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