Home
Class 12
MATHS
The differential equation representing t...

The differential equation representing the family of curves `y^2=2c(x+sqrt(c)),` where `c` is a positive parameter, is of (a) order 1 (b) order 2 (c) degree 3 (d) degree 4

A

Order 1, degree 3

B

Order 1, degree 2

C

Order 2, degree 3

D

Order 2, degree 2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - C (Objective Type Questions) (Multiple than one options are correct)|17 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - D (Linked Comprehension Type Questions))|11 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Competition Level Questions|35 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos

Similar Questions

Explore conceptually related problems

Form the differential equation representing the family of curves y=A cos(x+B) where A and B are parameters.

Form the differential equation representing the family of curves y=A cos(x+B) where AS and B are parameters.

The differential equation of the family of curves cy ^(2) =2x +c (where c is an arbitrary constant.) is:

Form the differential equation of the family of curves represented by y^2=(x-c)^3 .

The differential equation which represents the family of curves y=c_(1)e^(c_(2^(x) where c_(1)andc_(2) are arbitary constants is

The degree of the differential equation corresponding to the family of curves y=a(x+a)^(2) , where a is an arbitrary constant is

Consider the differential equation of the family of curves y^2=2a(x+sqrt(a)) , where a is a positive parameter.Statement 1: Order of the differential equation of the family of curves is 1.Statement 2: Degree of the differential equation of the family of curves is 2. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

The differential equation of the family of curves represented by y^3= cx+ c^3+ c^2-1 ,where c is an arbitrary constant is of :

The differential equaiotn which represents the family of curves y=C_(1)e^(C_(2)x) , where C_(1) and C_(2) are arbitrary constants, is

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3

AAKASH INSTITUTE ENGLISH-DIFFERENTIAL EQUATIONS-Assignment Section - B (Objective Type Questions (One option is correct))
  1. The degree of the differential equation ((d^(3)y)/(dx^(3)))^(2//3)+4...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The differential equation of the family of curves y = P(x+Q)^(2) is

    Text Solution

    |

  5. The differential equation of all circles passing through the origin...

    Text Solution

    |

  6. The solution of (dy)/(dx)=(a x+h)/(b y+k) represent a parabola when

    Text Solution

    |

  7. The order of the differential equation of ellipse whose major and mino...

    Text Solution

    |

  8. The differential equation of all parabolas whose axis are parallel t...

    Text Solution

    |

  9. The solution of the equation 2xy' - y = 3 represents a family of

    Text Solution

    |

  10. If (dp)/(dy) = 3^(cos y) sin y, then P is equal to

    Text Solution

    |

  11. The solution of (dy)/(dx)-y=1, y(0)=1 is given by

    Text Solution

    |

  12. The general solution of the differential equaiton (1+y^(2))dx+(1+x^(2)...

    Text Solution

    |

  13. The solution of the differential equation y(dy)/(dx)=x-1 satisfying y(...

    Text Solution

    |

  14. Solution of the differential equation sin x. cos y dy + cos x. sin y d...

    Text Solution

    |

  15. Solution of differential equation (dy)/(dx) = (2)/(x+y) is

    Text Solution

    |

  16. The differential equation (dy)/(dx)=(sqrt(1-y^2))/y determines a fa...

    Text Solution

    |

  17. If y=y(x) and (2+sinx)/(y+1)((dy)/(dx))=-cosx ,y(0)=1, then y(pi/2)=

    Text Solution

    |

  18. The slope of the tangent at (x , y) to a curve passing through a po...

    Text Solution

    |

  19. The solution of the differential equation (dy)/(dx) = (y)/(x)+ (Q((...

    Text Solution

    |

  20. The solution of differential equation x^(2)y^(2)dy = (1-xy^(3))dx is

    Text Solution

    |