Home
Class 12
MATHS
In each of the following cases, from the...

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation:
y=Acosnx+B sinnx, A and B are arbitrary constans.

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos
  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos
  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos

Similar Questions

Explore conceptually related problems

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=asin(x+b), a and b are arbitrary constants.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=asin(mx+b) , a and b are arbitrary constants.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=acos(mx+b), a,b are arbitrary constants.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=Ae^(-mx)+Be^(-mx) , A and B are arbitrary constants.

In each of the following cases, from the differential equation by eliminating the arbitrary constants from the given equation: y=csin^-1x , c is an arbitrary constant

Ax^2+By^2=1 , A and B are arbitrary constants.

Form the differential equations not containing the arbitrary constants and satisfied by the equations: y=ae^(bx) , a and b arbitrary constants.

In y = ae^(3x) + be^(-2x) form the differential equation by eliminating arbitrary constant a and b .

In y = e^(x) ( a cos x + b sin x) form the differential equation by eliminating arbitrary constants a and b .

Form the differential equations not containing the arbitrary constants and satisfied by the equations: ay^2=(x-c)^3 , c being an arbitrary constant.

PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Determine the order and the degree of each of the following equations....

    Text Solution

    |

  2. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  3. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  4. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  5. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  6. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  7. c(y+c)^2=x^3, c is an arbitrary constant.

    Text Solution

    |

  8. y^2-2ay+x^2=a^2, a is an arbitrary constant.

    Text Solution

    |

  9. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  10. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  11. y=Ae^(2x)+Be^(-2x), where A and B are arbitrary constants.

    Text Solution

    |

  12. y=ae^(2x)+be^(-3x), a and b being arbitrary constants.

    Text Solution

    |

  13. In each of the following cases, from the differential equation by elim...

    Text Solution

    |

  14. Find the differential equation from y = e^x (A cos x + B sin x), where...

    Text Solution

    |

  15. y^2=m(n^2-x^2),m,n are arbitray constants.

    Text Solution

    |

  16. y=ae^x+be^(2x)+ce^(3x), a,b,c are arbitrary constants.

    Text Solution

    |

  17. ae^(3x)+be^(7x)+ce^(2x), a,b,c are arbitrary constants.

    Text Solution

    |

  18. x^2+y^2+2ax+2by+c=0, a,b,c are arbitrary constants.

    Text Solution

    |

  19. Ax^2+By^2=1, A and B are arbitrary constants.

    Text Solution

    |

  20. Obtain the differential equation of each of the following families of ...

    Text Solution

    |