Home
Class 12
MATHS
If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 ...

If `y = e^(m cos^(-1) x)
(1-x^2)y_2-xy_1 = m^2y`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

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

If y = sin(mcos^(-1)x) then prove that (1-x^(2))y_(2)-xy_(1)+m^(2)y=0 .

If y = tan^(-1) x, prove that (1 + x^2)y_2 + 2xy_1 = 0

If y = ax sin x show that x^2y_2 - 2xy_1 + (x^2 + 2)y = 0

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

If y= tan^-1 x then prove that (1+x^2) y_(2) + 2xy_(1) =0. Differentiate sec^-1(1/(2x^2 -1)) with respect to sqrt 1-x^2 .

If y=(log x)^(cos x)+(x^2+1)/(x^2-1) find (dy)/(dx) .

If y^(1//m)+y^(-1//m)=2x , then prove that (x^(2)-1)y_(2)+xy_(1)=m^(2)y^(2)

Find dy/dx y = cos^(-1)(1-1/x-1/x^(2))^(1/2)

x^n - y^n = (x-y) (x^(n-1) + x^(n-2) y + … + xy^(n-2) + y^(n-1)) , x,y in R

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...

    Text Solution

    |

  2. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...

    Text Solution

    |

  3. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

    Text Solution

    |

  4. Differentiate with respect to x: y=3^(x^2)+tan^-1((cosx+sinx)/(cosx-si...

    Text Solution

    |

  5. Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...

    Text Solution

    |

  6. Find Integrating factor of:(x logx)dy/dx+y=2logx

    Text Solution

    |

  7. Integrate int(x+7)/(x^2+8x)dx

    Text Solution

    |

  8. Solve dy/dx+y/x=xy^2.

    Text Solution

    |

  9. Prove that int(pi//6)^(pi//3)1/(1+sqrt(tanX))dx =(pi)/12

    Text Solution

    |

  10. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  11. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  12. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

    Text Solution

    |

  13. Show that the vector area of the triangle whosse vertices have positio...

    Text Solution

    |

  14. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

    Text Solution

    |

  15. If y=x^(sinx)+(sinx)^(cosx), then find (dy)/(dx).

    Text Solution

    |

  16. Show that sin^(P) theta cos^(q) theta attains a maximum value, when th...

    Text Solution

    |

  17. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  18. Prove by vector method that the mid-point of the hypotentise of a righ...

    Text Solution

    |

  19. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

    Text Solution

    |

  20. Let f be defined by f(x)=4x + 3 for all x""inR. Show that it is biject...

    Text Solution

    |