Home
Class 12
MATHS
An equation of the curve satisfying x dy...

An equation of the curve satisfying `x dy - y dx = sqrt(x^(2)-y^(2))dx` and y(1) = 0 is

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar (Example)|3 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (a) Short Answer Type Questions|36 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

An equation of the curve satistying xdy-ydx=sqrt(x^(2)-y^(2))dx and y(1)=0 is

The solution of the differential equation x dy - y dx = sqrt(x^(2) + y^(2)) dx is

Solve the differential equation x dy-y dx=sqrt(x^(2)+y^(2)) dx .

The equation of the curve satisfying the equation ( 1 + y^2) dx + ( x-e^(-tan^(-1)y))dy=0 and passing through origin is

The equation of the curve satisfying the differential equation x^(2)dy=(2-y)dx and passing through P(1, 4) is

The equation of the curve satisfying the eqution (xy-x^(2)) (dy)/(dx) = y^(2) and passing through the point (-1,1) is

The equation of the curve satisfying the differential equation y^(2)(x^(2)+1)=2xy passing through the point (0,1) and having slope of tangnet at x=0 as 3, is (Here y=(dy)/(dx) and y_(2)=(d^(2)y)/(dx^(2)))

MODERN PUBLICATION-DIFFERENTIAL EQUATIONS-Frequently Asked Questions
  1. Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is ho...

    Text Solution

    |

  2. Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)).

    Text Solution

    |

  3. An equation of the curve satisfying x dy - y dx = sqrt(x^(2)-y^(2))dx ...

    Text Solution

    |

  4. Solve : (x cos. y/x) ( y dx + x dy) = ( y sin. y/x) (x dy- y dx).

    Text Solution

    |

  5. The differential equations , find the particular solution satisfyin...

    Text Solution

    |

  6. Solve the following differential equation: x ylog(x/y)dx+{y^2-x^2log(x...

    Text Solution

    |

  7. Solve the following differential equation: x(dy)/(dx)-y+xsin(y/x)=0

    Text Solution

    |

  8. Prove that x^2-y^2=c(x^2+y^2)^2is the general solution of differenti...

    Text Solution

    |

  9. Solve 2y e^(x//y)dx+(y-2x e^(x//y))dy=0

    Text Solution

    |

  10. (x log x ) (dy)/(dx) + y = 2 log x

    Text Solution

    |

  11. Solve the differential equation : x dy/dx+3y=logx/x^3.

    Text Solution

    |

  12. Find the general solution of the differential equations:x(dx)/(dy)+y-...

    Text Solution

    |

  13. xdy + (y - x ^(3)) dx =0

    Text Solution

    |

  14. secx (dy)/(dx) -y = sin x

    Text Solution

    |

  15. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

    Text Solution

    |

  16. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

    Text Solution

    |

  17. Solve the differential equation (tan^(-1)y-x)dy=(1+y^2)dx.

    Text Solution

    |

  18. (ii) Find the particular solution of DE (1+y^2)dx + (1+x^2)dy=0when x=...

    Text Solution

    |

  19. Solve the differential equation (cos ^(2) x ) (dy)/(dx) + y =...

    Text Solution

    |

  20. Find the particular solution of the differential equation (dy)/(dx)+y...

    Text Solution

    |