Home
Class 12
MATHS
If y=sin(msin^-1x), prove that (1-x^2)y2...

If `y=sin(msin^-1x)`, prove that `(1-x^2)y_2-xy_1+m^2y=0`

Text Solution

Verified by Experts

The correct Answer is:
Continuous
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION XII)(SHORT ANSWER TYPE QUESTIONS) |12 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

If y = sin^-1x , prove that (1-x^2)y_2 - x y_1= 0

y = e^(m sin^(-1)x), prove that (1 - x^2) y_2 - xy_1 = m^2y

If y=[sin^-1 x]^2 , then prove that : (1 -x^2) y_2-xy_1 - 2 = 0 .

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

If y = (cos^-1 x)^2 show that (1-x^2)^2 y_2 -xy_1 = 2

Find the second order derivative of the following functions If y = sin (m tan^(-1) x) , prove that (1 + x)^2 y_2 + 2x (1 + x^2) + m^2 y= 0

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

Find the second order derivative of the following functions If y = (sin^(-1) x)/(sqrt(1 - x^2)) , prove that (1 - x^2) y_2 - 3xy_1 - y = 0

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. Diferentiate tan^(-1)((2x)/(1 - x^2)) w.r.t.x.

    Text Solution

    |

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

    Text Solution

    |

  3. If y=sin(msin^-1x), prove that (1-x^2)y2-xy1+m^2y=0

    Text Solution

    |

  4. Discuss the continuity of f(x) = 0 at x = 0 if f(x) = {{:((sqrt(1 + ...

    Text Solution

    |

  5. Discuss the continuity of following at x = 0 if f(x) = {{:((sqrt(1 +...

    Text Solution

    |

  6. Determine the value of constant k so that the function f(x) = {{:((x...

    Text Solution

    |

  7. Determine the constant k, so that the function f(x) = {{:((x^2- 9)/(...

    Text Solution

    |

  8. Examine the continuity of the following function at x = 2 : f(x) = {...

    Text Solution

    |

  9. Examine the continuity of the following function at x = 2 : f(x) = {...

    Text Solution

    |

  10. Differentiate the following w.r.t.x y = log(x+4+sqrt(x^2 +8x+4))

    Text Solution

    |

  11. Differentiate the following w.r.t.x y= log(x+2+sqrt(x^2 + 4x+1))

    Text Solution

    |

  12. y = sqrt(cos x + sqrt(cosx + sqrt(cosx + ...."to " oo))) prove that (2...

    Text Solution

    |

  13. y = sqrt(sin x + sqrt(sinx + sqrt(sinx + ....1 oo))) prove that (2y - ...

    Text Solution

    |

  14. y = sqrt(tan x + sqrt(tanx + sqrt(tanx + ...."to" oo))) prove that (2y...

    Text Solution

    |

  15. If sin y = x cos (a + y), prove that (dy)/(dx) = (cos^2 (a + y))/(cos ...

    Text Solution

    |

  16. x = a (theta - sin theta), y = a (1 + cos theta) find dy/dx

    Text Solution

    |

  17. If y = (sin x)^(cos x) find (dy)/(dx).

    Text Solution

    |

  18. If y = (cos x)^(sin x) find (dy)/(dx)

    Text Solution

    |

  19. Differentiate cos^(-1)((1 - x^2)/(1 + x^2)) w.r.t. tan^(-1)x.

    Text Solution

    |

  20. Differentiate sin^(-1)((2x)/(1 + x^2)) w.r.t. tan^(-1) x.

    Text Solution

    |