Home
Class 12
MATHS
The differential equation which represen...

The differential equation which represents the family of curves `y=c_1e^(c_2x)` where `c_1 and c_2` are arbitrary constants , is :

A

`yy^('') = (y^('))^(2)`

B

`y^(') = y^(2)`

C

`y^('') = y^(')y`

D

`yy^('') = y^(')`

Text Solution

Verified by Experts

The correct Answer is:
A
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 differential equation corresponding to the family of curves y=e^x (ax+ b) is

Form the differential equation representing the family of curves y = a sin ( x + b) , where a, b are arbitrary constants.

Form the differential equation representing the given family of curves y= asin(x+b) where a,b are arbitrary constants.

The differential equation y(dy)/(dx)+x=c represents

Find the differential equation representing the family of curves y=asin (x+b), where a,b are arbitrary constants.

Form the differential equation representing the family of curves y= asin(x+b) where a,b are arbitrary constant.

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

Form the differential equation representing family of curve (x)/(a)+(y)/(b) =1 where a and b are arbitrary constants .

HIMALAYA PUBLICATION-DIFFERENTIAL EQUATIONS-QUESTION BANK
  1. The differential equation whose solution is Ax^2+By^2=1, where A and B...

    Text Solution

    |

  2. The differential equation of family of circles with fixed radius 5 uni...

    Text Solution

    |

  3. The differential equation which represents the family of curves y=c1e^...

    Text Solution

    |

  4. Solution of the differential equation cos x dy = y (sin x - y) dx 0 lt...

    Text Solution

    |

  5. The general solution of y^(2)dx + (x^(2)-xy +y^(2)) dy = 0 is

    Text Solution

    |

  6. The differential equation of the family of parabola with focus at the ...

    Text Solution

    |

  7. Integrating factor of the differential equation cos x dy/dx + y sin x ...

    Text Solution

    |

  8. The differential equation dy/dx+Py = Qy^(n), n gt 2 can be reduced to ...

    Text Solution

    |

  9. The function f (theta) = d/d theta int0^(theta) dx/(1-cos theta cosx) ...

    Text Solution

    |

  10. The solution of the differential equation (1+x^(2)) dy.dx +1 + y^(2) =...

    Text Solution

    |

  11. The differential equation of all parabolas whose axes are parallel to ...

    Text Solution

    |

  12. The solution of the differential equation dy/dx +1 = e^(x+y) is

    Text Solution

    |

  13. Which of the following functions is a solution of the differential equ...

    Text Solution

    |

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

    Text Solution

    |

  15. The solution of cos(x+y)dy = dx is

    Text Solution

    |

  16. The integrating factor of the differential equation : (dy)/(dx)(xlo...

    Text Solution

    |

  17. The solution of dy/dx + 2y tan x = sin x is

    Text Solution

    |

  18. Solution of the differential equation xdy-ydx =0 represents

    Text Solution

    |

  19. The solution of the differential equation (dy)/(dx)+y/x=x^2 is :

    Text Solution

    |

  20. The solution of the differential equation dy/dx - tany/x = (tan y sin ...

    Text Solution

    |