Home
Class 12
MATHS
If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} ...

If `ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x}` then prove that `(x^2 +1) dy/dx + xy + 1 = 0`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION SET

    USHA PUBLICATION|Exercise MODEL QUESTION SET|692 Videos

  • PREVIOUS YEAR QUESTION 2016

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |44 Videos

Similar Questions

Explore conceptually related problems

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

If y=log[x+sqrt(x^(2)+1)] , then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=0 .

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

If log(sqrt(1+x^(2))-x)=ysqrt(1+x^(2)) , then show that (1+x^(2))(dy)/(dx)+xy+1=0 .

Find dy/dx xy^2 + x^2y + 1 = 0

Solve : dy/dx (x^2 - 1) + 2xy = 1 .

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

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

Solve: (x^2-1)dy/dx+2xy=1

USHA PUBLICATION-PRACTICE PAPER-PRACTICE PAPER
  1. Test differentiability of the following function at the indicated poin...

    Text Solution

    |

  2. If y=tan^(-1)(frac[1+sinx][1-sinx])^(frac[1][2]) and z=log(frac[1+cosx...

    Text Solution

    |

  3. If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...

    Text Solution

    |

  4. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

    Text Solution

    |

  5. Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...

    Text Solution

    |

  6. Evaluate, intfrac[1][(2-x)sqrt(5-4x+x^2)]dx

    Text Solution

    |

  7. Evaluate intfrac[2cosx+7][4-sinx]dx

    Text Solution

    |

  8. Evaluate, int0^(pi//4)sinxdx

    Text Solution

    |

  9. Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...

    Text Solution

    |

  10. solve:e^-x(d^2y)/dx^2=x

    Text Solution

    |

  11. Find the scalar and vector projections of the vector 2hati-3hatj-6hatk...

    Text Solution

    |

  12. In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...

    Text Solution

    |

  13. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  14. Find the image of the point (3,5,7) with respect to the plane 2x+y+z=6...

    Text Solution

    |

  15. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  16. Give an example of a relation f such that f = f^(-1)

    Text Solution

    |

  17. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

    Text Solution

    |

  18. Solve the following LPP graphically Optimize Z=5x1+25x2 subject to -0....

    Text Solution

    |

  19. Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...

    Text Solution

    |

  20. Find the inverse of the matrix abs[[3,-2,3],[2,1,-1],[4,-3,2]]

    Text Solution

    |