Home
Class 12
MATHS
If y=Acos(logx)+B sin(logx) then prove t...

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

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 9|3 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 7|11 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If y=A cos(log x)+B sin(log x), prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

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

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

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

If y=a cos(log x)+sin(log x), prove that (x^(2)d^(2))/(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 .

If y=sin^(-1)x then prove that (1-x^(2))(d^(y))/(dx^(2))-x(dy)/(dx)=0

If y=sin^(-1)x ,then prove that (1-x^(2))(d^(2)y)/(dx^(2))=x(dy/dx)

If y=sin^(-1)x, prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=0

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