Home
Class 12
MATHS
If x=tan(1/alogy)\ , show that (1+x^2)(d...

If `x=tan(1/alogy)\ ,` show that `(1+x^2)(d^2\ y)/(dx^2)+(2x-a)(dy)/(dx)=0`

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

If x=tan(1/alogy) , show that (1+x^2)(d^2y)/(dx^2)+(2x-a)(dy)/(dx)=0 .

If x=tan(1/a log y) , prove that (1+x^2) (d^2y)/(dx^2)+(2x-a) (dy)/(dx)=0

If y=tan^(-1)x , show that (1+x^2)(d^2y)/(dx^2)+2x(dy)/(dx)=0 .

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

If y=3cos(logx)+4sin(logx),\ then show that x^2(d^2\ y)/(dx^2)+x(dy)/(dx)+y=0

IF y=e^(tan^(-1)x) then prove that : (1+x^(2))(d^2y)/(dx^2)+(2x-1)(dy)/(dx)=0 .

If y=sin^(-1)x , then show that (1-x^2)\ (d^2y)/(dx^2)-x(dy)/(dx)=0 .

If x=sin(1/alogy) , show that (1-x^2)y_2-x\ y_1-a^2\ y=0 .

If y=(sin^(-1)\ x)/(sqrt(1-x^2)) , show that (1-x^2) (d^2\ y)/(dx^2)-\ 3x\ (dy)/(dx)-\ y=0

If y=log[x+sqrt(x^2+a^2)\ ] , show that (x^2+a^2)(d^2\ y)/(dx^2)+x(dy)/(dx)=0

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))]=pi/4...

    Text Solution

    |

  2. Using properties of determinants, solve the following for x: |[x-2, ...

    Text Solution

    |

  3. If x=tan(1/alogy)\ , show that (1+x^2)(d^2\ y)/(dx^2)+(2x-a)(dy)/(dx)=...

    Text Solution

    |

  4. Evaluate: int0^(pi/2)(x+sinx)/(1+cosx)dx

    Text Solution

    |

  5. Solve the following differential equation: x\ dy-y\ dx=sqrt(x^2+y^2...

    Text Solution

    |

  6. Solve the following differential equation: <math>  <mrow>   <mro...

    Text Solution

    |

  7. A speaks truth in 60% of the cases, while B in 90% of the cases. In...

    Text Solution

    |

  8. If vec a ,\ vec b ,\ are two vectors such that | vec a+ vec b|=| ve...

    Text Solution

    |

  9. In answering a question on a multiple choice test, a student either...

    Text Solution

    |

  10. An urn contains 4 white and 3 red balls. Let X be the number of red ba...

    Text Solution

    |

  11. If y=(sin^(-1)\ x)/(sqrt(1-x^2)) , show that (1-x^2) (d^2\ y)/(dx^2)-...

    Text Solution

    |

  12. Using properties of determinants, prove the following: |[1,1+p,1+p+q],...

    Text Solution

    |

  13. On a multiple choice examination with three possible answers (out o...

    Text Solution

    |

  14. If vec p is a unit vector and ( vec x-\ vec p).( vec x+\ vec p)...

    Text Solution

    |

  15. Let f: NvecN be defined by f(n)={(n+1)/2,\ "if"\ n\ "i s\ o d d"n/2...

    Text Solution

    |

  16. Solve the following differential equation: cos^2x(dy)/(dx)+\ y=tanx

    Text Solution

    |

  17. Solve the following differential equation: x(dy)/(dx)=y-xtan(y/x)

    Text Solution

    |

  18. Find the distance of the point P(6,5,9) from the plane determined b...

    Text Solution

    |

  19. If matrix A=[[1,-1],[-1 ,1]] and A^2=k A , then write the value of k

    Text Solution

    |

  20. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance ...

    Text Solution

    |