Home
Class 12
MATHS
Find the differential equation satisfyin...

Find the differential equation satisfying the relation `sqrt(1+x^(2))+sqrt(1+y^(2))= lambdaxsqrt(1+y^(2))-ysqrt(1+x^(2))`.

A

1

B

2

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DIFFERENTIAL EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|5 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|26 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

Similar Questions

Explore conceptually related problems

Find the degree of the differential equation satisfying the relation sqrt(1+x^2)+sqrt(1+y^2)=lambda(xsqrt(1+y^2)-ysqrt(1+x^2))

The degree of the differential equation satisfying the relation sqrt(1+x^2) + sqrt(1+y^2) = lambda (x sqrt(1+y^2)- ysqrt(1+x^2)) is

The degree of the differential equation satisfying the relation sqrt(1+x^2) + sqrt(1+y^2) = lambda (x sqrt(1+y^2)- ysqrt(1+x^2)) is

The order of the differential equation satisfying sqrt(1-x^4)+sqrt(1-y^4)=a(x^2-y^2) is

The degree of the differential equation satisfying by the curves sqrt(1+x)-asqrt(1+y)=1, is ……..

y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))

Draw the graph of the relation y=|x|sqrt(1-x^(2))

Find the solution of the differential equation x\ sqrt(1+y^2)dx+y\ sqrt(1+x^2)dy=0.

Find the derivative of y=sqrt(x^2+1) .

The degree of the differential equation satisfying sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) is (a) 1 (b) 2 (c) 3 (d) none of these

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIAL EQUATIONS-Exercise
  1. Solve the each of the following differential equation: (dy)/(dx)+y/...

    Text Solution

    |

  2. Solve the differential equation: (1+y^2) + ( x - e^(tan^-1 y) ) dy/dx...

    Text Solution

    |

  3. Solution of x(dy)/(dx)+y=xe^(x), is

    Text Solution

    |

  4. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

    Text Solution

    |

  5. The integrating factor of the differential equation (dy)/(dx) + y = (1...

    Text Solution

    |

  6. The degree of the differential equation corresponding to the family of...

    Text Solution

    |

  7. The degree of the differential equation of all curves having normal of...

    Text Solution

    |

  8. The differential equation of the family of ellipses having major and m...

    Text Solution

    |

  9. Find the differential equation satisfying the relation sqrt(1+x^(2))+s...

    Text Solution

    |

  10. The differential eqaution of the family of curve y^(2)=4a(x+a), is

    Text Solution

    |

  11. Find the equation of the curve in which the subnormal varies as the sq...

    Text Solution

    |

  12. The solution of differential equation xdy-ydx=0 represents

    Text Solution

    |

  13. The equation of the curve whose subnormal is twice the abscissa, is

    Text Solution

    |

  14. The solution of the differential equation (x)/(x^(2)+y^(2))dy = ((y)...

    Text Solution

    |

  15. A curve passes through the point (0,1) and the gradient at (x,y) on it...

    Text Solution

    |

  16. The equation of the curves through the point (1, 0) and whose slope...

    Text Solution

    |

  17. The differential equation for which sin^(-1) x + sin^(-1) y = c is giv...

    Text Solution

    |

  18. The solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

    Text Solution

    |

  19. The order of the differential equation of family of circles touching t...

    Text Solution

    |

  20. The function f(x) satisfying the equation f^(2)(x)+4f'(x).f(x)+[f'(x...

    Text Solution

    |