Home
Class 12
MATHS
If y=x^n{acos(logx)+bsin(logx)} , prove ...

If `y=x^n{acos(logx)+bsin(logx)}` , prove that `x^2\ (d^2y)/(dx^2)+(1-2n)(dy)/(dx)+(1+n^2)y=0` .

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=x^(n){a cos(log x)+b sin(log x)}, prove that x^(2)(d^(2)y)/(dx^(2))+(1-2n)(dy)/(dx)+(1+n^(2))y=0

If y=acos(logx)+bsin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+y=0

If y=sin(logx) , prove that x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0 .

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

If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .

If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .

If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .

If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .

If y=acos(logx)+bsin(logx), show, that, x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0 .

If y=asin(logx)+bcos(logx) , prove that : x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .