Home
Class 12
MATHS
If y = sin^-1 x, show that : (1-x^2) d^2...

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

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the second order derivative of the following functions If y = cos^(-1)x show that (1 - x^2)(d^2y)/(dx^2) - x (dy)/(dx) = 0

If y= sin (2 sin^-1 x) , prove that: (1 - x^2 ) (d^2y/dx^2) - x(dy/dx) + 4y = 0 .

If y = e^(2tan^-1x) , then show that : (1 + x^2)^2 d^2y/dx^2 + 2x ( l +x^2 ) dy/dx= 4y .

If y = e^(3tan^-1x) , then show that : (1 + x^2)^2 d^2y/dx^2 + 2x ( l +x^2 ) dy/dx= 9y .

IF [y= (sin^-1) /sqrt(1-x^2)] show that : [(1 -x^2) (d^2y /dx^2) - 3x(dy/dx) -y =0]

If y = e^(acos^-1x), -1lexle1 , show that (1-x^2)(d^2y)/dx^2 - x(dy/dx) - a^2y = 0

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find the second derivative of the following functions: x^x

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. lf y=3e^(2x) +2e^(3x), prove that d^2y/dx^2 - 5dy/dx +6y =0.

    Text Solution

    |

  5. If y = Ae^(mx) + Be^(nx), Show that (d^2 /dx^2 y)-(m+n)dy/dx+mny = 0

    Text Solution

    |

  6. Find the second order derivative of the following functions If y = P...

    Text Solution

    |

  7. y = 5 cos x - 3 sin x, prove that (d^2 y)/(dx^2) + y = 0

    Text Solution

    |

  8. If e^y(x+1)=1 show that (d^2y/dx^2) = (dy/dx)^2 ਹੈ।

    Text Solution

    |

  9. If y = A sinx + B cosxthen prove that d^2y/dx^2 + y = 0

    Text Solution

    |

  10. Find (d^2)/(dx^2) in the following : x = at^2, y = 2 at

    Text Solution

    |

  11. Find (d^2)/(dx^2) in the following : x = a costheta, y = b sin theta

    Text Solution

    |

  12. Find (d^2)/(dx^2) in the following : x = a cos^3 theta, y = a sin^3t...

    Text Solution

    |

  13. Find (d^2y)/(dx^2) in the following x = a cos^3 theta, y = a sin^3 t...

    Text Solution

    |

  14. Find (d^2)/(dx^2) in the following : If x = a cos^3 theta and y = a ...

    Text Solution

    |

  15. Find (d^2)/(dx^2) in the following : x = a (cost + t sin t), y = a (...

    Text Solution

    |

  16. Find (dy^2)/(dx^2) in the following : x = a (theta - sin theta), y =...

    Text Solution

    |

  17. Find (d^2y)/(dx^2) at theta = pi/2 when: x = a (theta-sintheta),y=a(...

    Text Solution

    |

  18. Find (d^2y)/(dx^2) at theta = pi/2 when: x=a(1-costheta), y = a(thet...

    Text Solution

    |

  19. Find (d^2y)/(dx^2) at theta = pi/2 when: x=a(theta - sin theta), y =...

    Text Solution

    |

  20. Find (d^2y)/(dx^2) when : x=2 cos theta - cos 2theta and y = 2 sin the...

    Text Solution

    |