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

The differential equation whose solution is `A x^2+B y^2=1` , where `A` and `B` are arbitrary constants, is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree

A

second order and second degree

B

first order and second degree

C

first order and first degree

D

second order and first degree

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • DETERMINANTS

    DISHA PUBLICATION|Exercise EXERCISE -2 CONCEPT APPLICATOR|30 Videos
  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos

Similar Questions

Explore conceptually related problems

The differential equation whose solution is Ax^(2)+By^(2)=1, where A and B are arbitrary constants,is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree

Order of the differential equation whose general solution is y = (ax)/(bx + c) , where a, b, c are arbitrary constants is

When a and b are eliminated from the equation xy=ae^(x)+be^(-x) ,the resulting differential equation is of (a) first order and first degree (b) first order and second degree (c) second order and first degree (d) second order and second degree

Find the differential equation of the family of curves y=e^x(Acosx +Bsinx) where A,B are arbitrary constants. Also write its order and degree.

For the differential equation whose solution is (x-h)^(2)+(y-k)^(2)=a^(2)(a is a constant),its (a) order is 2 (b) order is 3 (c) degree is 2 (d) degree is 3

First Order Reaction, Second Order Reaction

The differential equation of all parabolas each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3(c) of order 2 and degree 1 (d) of order 2 and degree 2

The order and degree of equation whose solution is given by y=cx +c^(3)-4c^(3//2)+7 where 'c' is arbitrary constant are

First order derivative test |Second order derivative test

Write untis of rate constant for first and second order reactions.

DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-1 : Concept Builder (Topicwise)
  1. If xy= A sin x + B cos x is the solution of the differential equation...

    Text Solution

    |

  2. The differential equation of tan(x-y) = cx is

    Text Solution

    |

  3. The differential equation whose solution is A x^2+B y^2=1 , where A an...

    Text Solution

    |

  4. The order and degree of the differential equation (1+3(dy)/(dx))^(2//3...

    Text Solution

    |

  5. The order and degree of the differential equation (d^4 y)/(dx^(4))+ s...

    Text Solution

    |

  6. Consider the differential equation [1 + ((dy)/(dx))^(2)]^(-3//2) = k (...

    Text Solution

    |

  7. The differential equation of the family of straight lines whose slope ...

    Text Solution

    |

  8. Differential equation of the family of curves v=A/r+B , where A and B ...

    Text Solution

    |

  9. The differential equation representing the family of curves y^2=2c(x+s...

    Text Solution

    |

  10. The degree of the differential equation ((d^3 y)/(dx^(3)))^(4) + ((d...

    Text Solution

    |

  11. Write the order of the differential equation whose solution is y=ac...

    Text Solution

    |

  12. A differential equation associated to the primitive y=a+b e^(5x)+c ...

    Text Solution

    |

  13. The family of curves y = e^(a sinx) where a is an arbitrary constant ...

    Text Solution

    |

  14. The differential equation of all non-horizontal lines in a plane is...

    Text Solution

    |

  15. The normal to a given curve at each point (x ,y) on the curve passes t...

    Text Solution

    |

  16. The solution of (dy)/(dx)=e^x(sin^2x+sin2x)/(y(2 log y +1)) is-

    Text Solution

    |

  17. The curve in the first quadrant for which the normal at any point (...

    Text Solution

    |

  18. The solution of differential equation [ e^(-2sqrt(2))/(sqrt(x))-y/(...

    Text Solution

    |

  19. The equation of the curve which passes through the point (2a, a) and f...

    Text Solution

    |

  20. The solution of (y+x+5)dy=(y-x+1)dx is (a) ( b ) (c)log(( d ) (e) (f)...

    Text Solution

    |