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

The differential equation representing the family of curves `y=xe^(cx)` (c is a constant )is

A

`(dy)/(dx)=y/x (1-log y/x)`

B

`(dy)/(dx)=y/x log (y/x)+1`

C

`(dy)/(dx)=y/x (1+log (y/x))`

D

`(dy)/(dx)+1= y/x log (y/x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|124 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

Similar Questions

Explore conceptually related problems

The differential equation,which represents the family of plane curves y=e^(cx)

Find the differential equation representing the family of curves y=a.e^(2x)+5 , where a is an arbitrary constant.

The differential equation which represents the family of plane curves y=exp(cx) , is

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

Find the differential equation representing the family of curves y=ae^(bx+5), where a and b are arbitrary constants.

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

The differential equation representing the family of curves y^(2)=2c(x+sqrt(c)) ,where c is a positive parameter is of

TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. The solution of (dy)/(dx)+y=e^(x) is

    Text Solution

    |

  2. The differential equation of all straight lines passing through the po...

    Text Solution

    |

  3. The differential equation representing the family of curves y=xe^(cx) ...

    Text Solution

    |

  4. The differential equation of all circles which passes through the orig...

    Text Solution

    |

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

    Text Solution

    |

  6. Solution of differential equation log((dy)/(dx))=x+y is

    Text Solution

    |

  7. Solve the following differential equation: xcosy\ dy=(x e^xlogx+e^x)dx

    Text Solution

    |

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

    Text Solution

    |

  9. Solution of (dy)/(dx)+2x y=y is (a) ( b ) (c) y=c (d) e^( e ) (f) x...

    Text Solution

    |

  10. Solve the following differential equation: (dy)/(dx)=(1-cos x)/(1+cosx...

    Text Solution

    |

  11. Find the general solution of each of the following differential equat...

    Text Solution

    |

  12. The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y ...

    Text Solution

    |

  13. The solution of the differential equation x^2dy=-2xydx is

    Text Solution

    |

  14. The differential equations cos y dx = x dy has solution of the form

    Text Solution

    |

  15. The general solution of the differential equation (dy)/(dx)=cot x cot ...

    Text Solution

    |

  16. The solution of the differential equation x sec y "dy"/"dx"=1 is

    Text Solution

    |

  17. The general solution of the equation (e^y + 1)cos x dx + e^y sin x dx=...

    Text Solution

    |

  18. The general solution of the differential equation y dx +(1+x^2) tan^(...

    Text Solution

    |

  19. Solve : 3e^xtany dx+(1-e^x)sec^2y\ dy=0

    Text Solution

    |

  20. The solution of the differential equation (sin x + cos x) dy + (cos x-...

    Text Solution

    |