Home
Class 12
MATHS
Form a differential equation representin...

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b: `y = e^x(acosx + bsinx)`

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

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b: y = e^(2x) (a + bx)

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b: x/a + y/b = 1

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b: y = a e^(3x) + b e^-2x

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b: y^2 = a(b^2-x^2)

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

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

Form a differential equation representing the family of curves y^(2) = a ( b^(2) - x^(2) ) by eliminating a and b .

PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Form the differential equation of the family of circles having their c...

    Text Solution

    |

  2. The differential equation representing the family of circles x^(2)+(y-...

    Text Solution

    |

  3. Form a differential equation representing the given family of curves b...

    Text Solution

    |

  4. show: The solution of (dy)/(dx)=(y/x)^(1/3) is y^(2/3)-x^(2/3)=c.

    Text Solution

    |

  5. True or false: Differential equation of the family of rectangular hype...

    Text Solution

    |

  6. True or false: Solution of the differential equation (dx)/(dy)+P1x=q1,...

    Text Solution

    |

  7. True or false: Differential equation of the family of all circles of r...

    Text Solution

    |

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

    Text Solution

    |

  9. True or false: The general solution of the differential equation x(dy)...

    Text Solution

    |

  10. True or false: The general solution of the differential equations (dy)...

    Text Solution

    |

  11. True or false: The general solution of the differential equation (dy)/...

    Text Solution

    |

  12. True or false: A differential equation of the form (dy)/(dx)=g(x,y) wh...

    Text Solution

    |

  13. True or false: An integrating factor for the differential equation (dx...

    Text Solution

    |

  14. True or false: y(secx+tanx)=secx+tanx-x+108 is a particular solution o...

    Text Solution

    |

  15. Solve the differential equations: (x+y)(dx-dy)=dx+dy

    Text Solution

    |

  16. Match the statements in column I with those given in column II.

    Text Solution

    |

  17. The order of the differential equation (d^4y)/(dx^4)+((dy)/(dx))^3-y(d...

    Text Solution

    |

  18. The degree of the differential equation (d^3y)/(dx^3)+((d^2y)/(dx^2))^...

    Text Solution

    |

  19. Degree of the differential equation (d^2y)/(dx^2)sin((dy)/(dx))=cos^3y...

    Text Solution

    |

  20. Degree of the differential equation log((dy)/(dx))^2=2x+7y is

    Text Solution

    |