Home
Class 12
MATHS
Family y=Ax + A^3 of curves will corres...

Family `y=Ax + A^3 ` of curves will correspond to a differential equation of order :

A

3

B

2

C

1

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

Similar Questions

Explore conceptually related problems

The family y=ax+a^3 of curves is represented by the differential equation of degree :

Family of curves y=e^x(A cos x + B sinx) represents the differential equation :

verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation : y = Bx : xy' = y (x ne 0)

Verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation : 1. y = e^(x) + 1 : y'' - y' = 0

verify that the given functions(explicit or implicit) is a solution of the corresponding differential equation : y = x^(2) + 2x + C : y' - 2x - 2 = 0

If y=ae^(3x)+be^(-2x) represents family of curves, where a and b are arbitrary constant. Form the differential equation.

19. The elimination of A and B from the equation y^(2) = Ax+B gives differential equation of order

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The solution of x dy/dx +y = e^(x) is

    Text Solution

    |

  2. The differential equation for the family of curves x^2+y^2-2ay=0, wher...

    Text Solution

    |

  3. Family y=Ax + A^3 of curves will correspond to a differential equatio...

    Text Solution

    |

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

    Text Solution

    |

  5. The curve for which the slope of the tangent at any point equals the r...

    Text Solution

    |

  6. The general solution of the differential equation dy/dx = e^(x^(2)/2)+...

    Text Solution

    |

  7. The solution of the equation (2y-1) dx- (2x+3)dy =0 is

    Text Solution

    |

  8. The differential equation for which y = a cos x + b sin x is

    Text Solution

    |

  9. The order and the degree of the equation [1+(dy/dx)^(2)] = (d^(2)y)/(d...

    Text Solution

    |

  10. Which of the following is the general solution of (d^(2)y)/dx^(2) - 2...

    Text Solution

    |

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

    Text Solution

    |

  12. General solution of (dy)/(dx)+ytan x = sec x is :

    Text Solution

    |

  13. Solution of the differential equation dy/dx +y/x = sin x is

    Text Solution

    |

  14. The general solution of the differential equation (e^(x)+1)y dy = (y+1...

    Text Solution

    |

  15. The solution of the differential equation dy/dx = e^(x-y)+ x^(2)e^(-y)...

    Text Solution

    |

  16. The solution of the differential equationdy/dx + (2x)/(1+x^(2)) y = 1/...

    Text Solution

    |

  17. The solution of the differential equation cosy. cos x dx + sin x . Sin...

    Text Solution

    |

  18. The degree of the differential equation (d^(2)y)/(dx^(2)) + [1+ (dy/dx...

    Text Solution

    |

  19. 19. The elimination of A and B from the equation y^(2) = Ax+B gives di...

    Text Solution

    |

  20. The solution of the differential equation y sec^(2) x dx + tan x . Sec...

    Text Solution

    |