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If y=a cos (logx)+b sin (logx), prove th...

If `y=a cos (logx)+b sin (logx)`, prove that `x^(2)y_(2)+xy_(1)+y=0`.

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A DAS GUPTA-Differentiation-Exercise
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  2. If y=sin(2sin^-1x)show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y

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  3. If y=a cos (logx)+b sin (logx), prove that x^(2)y(2)+xy(1)+y=0.

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  4. If y=x^(n-1) log x, prove that (x^2y2)+(3-2n)xy1+(n-1)^2.y=0 where y1...

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  19. Find the sum of series sum(r=1)^nr.x^(r-1), using calculus.

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