Home
Class 12
MATHS
The differential equation whose solution...

The differential equation whose solution is `Ax^(2) + By^(2) = 1`, where A and B are arbitrary constant is of

A

first order and first degree

B

second order and first degree

C

second order and second degree

D

first order and second degree

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

Similar Questions

Explore conceptually related problems

The differential equation whose solution is y = Ae^(3x) + Be^(-3x) , where A, B are arbitrary constant, is

The differential equation whose solution is y=Ax^(5)+Bx^(4) is

The differential equation whose solution is y^(2) = 4ax , where a is an arbitrary constant, is

The differential equation whose solution is y = ce^(-2x) , where c is an arbitrary constant, is

The differential equation whose solution is y = ce^(x) , where c is an arbitrary constant, is

The differential equation of family of curves x^(2) + y^(2) - 2ay = 0 where 'a' is arbitrary constant is

The differential equation of the family of curves v=(A)/( r)+B where A and B are arbitrary constants is

The differential equation of family of curves r^(2)=a^(2)cos2 theta where 'a' is an arbitrary constant is

The differential equation of the family of curves y=ax+(1)/(a) , where a ne 0 is an arbitrary constant, has the degree

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The degree and order of D.E. of the family of rectangular hyperbolas w...

    Text Solution

    |

  2. The differential equation representing the family of curves y^(2) = 2c...

    Text Solution

    |

  3. The differential equation whose solution is Ax^(2) + By^(2) = 1, where...

    Text Solution

    |

  4. The differential equation of the family of curve y = ax + (1)/(a), whe...

    Text Solution

    |

  5. The solution of the differential equation y dx - x dy = 0 is

    Text Solution

    |

  6. The solution of the differential equation y dx + x dy = 0 is

    Text Solution

    |

  7. The solution of the differential equation (dy)/(dx) - (2xy)/(1 + x^(2)...

    Text Solution

    |

  8. The solution of (dy)/(dx) = (2x)/(3y^(2))is

    Text Solution

    |

  9. Let I be the purchase value of an equipment and V(t) be the value afte...

    Text Solution

    |

  10. The population P(t) at time t of a certain mouse species satisfies the...

    Text Solution

    |

  11. At present, a firm is manufacturing 2000 items. It is estimated that t...

    Text Solution

    |

  12. Let the popultion of rabbits surviving at a time t be governed by the ...

    Text Solution

    |

  13. If (dy)/(dx) = y + 3 gt 0 and y(0) =2, then y (ln 2) is equal to :

    Text Solution

    |

  14. The solution of x^(2) + y^(2) (dy)/(dx) =4 is

    Text Solution

    |

  15. The solution of 2xy (dy)/(dx) =1 + y^(2) is

    Text Solution

    |

  16. The general solution of (dy)/(dx) + (sqrt(1 - y^(2)))/(sqrt(1 - x^(2))...

    Text Solution

    |

  17. The solution of x^(2) (dy)/(dx) = sqrt(4 - y^(2)) is

    Text Solution

    |

  18. The general solution of (dy)/(dx) + (sqrt(1 - y^(2)))/(sqrt(1 - x^(2))...

    Text Solution

    |

  19. The general solution of x sqrt(1 + y^(2)) dx + y sqrt(1 + x^(2)) dy = ...

    Text Solution

    |

  20. The solution of x sqrt(1 - y^(2)) dx + y sqrt(1 - x^(2)) dy = 0 is

    Text Solution

    |