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

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

A

`(dy)/(dx) -y = 0`

B

`(dy)/(dx) + y = 0`

C

`(dy)/(dx) + 2y = 0`

D

`(dy)/(dx) - 2y = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
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 = ce^(x) , where c is an arbitrary constant, is

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

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

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

Find the order of the differential equation corresponding to y=c(x-c)^(2) , where c is an arbitrary constant.

Find the order of the differential equation corresponding to (i) y = c(x-c)^(2) where c is an arbitrary constant. (ii) y = Ae^(x) + Be^(3x) + Ce^(5x) where A, B, C are arbitrary constant. (iii) xy = c e^(x) + b e^(-x) + x^(2) where b, c are arbitrary constants. (iv) The family of all circles in the xy-plane with centre at the origin.

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

Form the differential equation representing the family of curves y = mx where, m is arbitrary constant.

Form the differential equation corresponding to y=cx-2c^(2) , where c is a parameter.

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIAL EQUATIONS-Exercise 1
  1. The differential equation whose solution is y^(2) = 4ax, where a is an...

    Text Solution

    |

  2. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  3. The differential equation whose solution is y = ce^(-2x), where c is a...

    Text Solution

    |

  4. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  5. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  6. The differential equation which represents the family of curves y = c(...

    Text Solution

    |

  7. The differential equation whose solution is y = Ae^(3x) + Be^(-3x), wh...

    Text Solution

    |

  8. The differential equation obtained by eliminating the arbitrary consta...

    Text Solution

    |

  9. Form the differential equation by eliminating a, b from y = ae^(3x) + ...

    Text Solution

    |

  10. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  11. y = Ae^(x) + Be^(2x) + Ce^(2x) satisfies the differental equation

    Text Solution

    |

  12. The differential equation of the family y = ae^(x) + bx e^(x) + vx^(2)...

    Text Solution

    |

  13. Let p in IR, then the differential equation of the family of curves y ...

    Text Solution

    |

  14. Form the differential equation from ax^(2) + by^(2) = 1

    Text Solution

    |

  15. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  16. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  17. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  18. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |

  19. Form the differential equation by eliminating a,b from (x-a)^(2) + (y ...

    Text Solution

    |

  20. Form the differential equation by eliminating the arbitrary constant f...

    Text Solution

    |