Home
Class 12
MATHS
If y=e^acos^((-1)x),-1lt=x<1,s howt h a ...

If `y=e^acos^((-1)x),-1lt=x<1,s howt h a t` `(1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)-a^2y=0`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

If y=e^(acos^(-1)x),-1lexle1 , show that : dy/dx=(-ae^(acos^(-1)x))/(sqrt(1-x^(2)))

If y=e^acos^((-1)x) , then prove that (1-x^2)y_2-x y_1-a^2y=0 .

If y = cos^(-1) ((2x)/(1 + x^(2))), - 1 lt x lt 1 " then " (dy)/(dx) is equal to

If y = 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) , then "………"lt y lt "………" .

y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1

If y=sec^(-1)(sqrt(1+x^(2))) , when -1 lt x lt 1, then find (dy)/(dx)

If y=tan^(-1)((2)/(e^(-x)-e^(x)))" then "(1+e^(2x))y_(1)=

If y=acos(lnx)+bsin(lnx) then prove that x^2y_3+3x y_2+2y_1=0

y = cos ^(-1)((1 - x^(2))/(1+ x^(2))) 0 lt x lt 1

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Solve the following differential equation: (1+ e ^(y/x)) dy + e^(y...

    Text Solution

    |

  2. Find f'(x) if f(x) = tan x^(tan x)

    Text Solution

    |

  3. If y=e^acos^((-1)x),-1lt=x<1,s howt h a t (1-x^2)(d^2y)/(dx^2)-x(dy)/...

    Text Solution

    |

  4. If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

    Text Solution

    |

  5. The area of the triangle formed by the vertices O, A, and B, where vec...

    Text Solution

    |

  6. If A = [(5, -1, 4), (2, 3, 5), (5, -2, 6)] , find A^(-1) and use it t...

    Text Solution

    |

  7. The vectors 3hati - hatj +2hatk, 2hati+hatj+3hatk and hati+lambdahatj-...

    Text Solution

    |

  8. A cottage industry manufactures pedestal lamps and wooden shades.Both ...

    Text Solution

    |

  9. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

    Text Solution

    |

  10. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

    Text Solution

    |

  11. Prove that tan^-1(1/4)+ tan^-1(2/9) = 1/2sin^-1(4/5)

    Text Solution

    |

  12. check whether the relation R in the set N of natural numbers given by ...

    Text Solution

    |

  13. The function f(x) : (x-1)/(x( x^(2) -1)) is discontinuous at (a) exa...

    Text Solution

    |

  14. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

    Text Solution

    |

  15. If I vec(a)I = 4 and -3 le lamda le 2,then Ilambda vec(a)I lies in ...

    Text Solution

    |

  16. Find the equation of the plane passing through the points (1,0,-2),(3,...

    Text Solution

    |

  17. Differentiate sec^2 (x^2) with respect to x^2

    Text Solution

    |

  18. If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) ...

    Text Solution

    |

  19. Evaluate : int(-pi/2)^(pi/2)xcos^2 xdx

    Text Solution

    |

  20. The relation R in the set {1,2,3} given by R = {(1,2), (2,1),(1,1)} is...

    Text Solution

    |