Home
Class 12
MATHS
Write down the order of the differential...

Write down the order of the differential equation which is satisfied by all functions of the type `x^p y^q=lambda(x+y)^(p+q)`, where `lambda` is an arbitrary constant.

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 the differntial equation which is satisfied by x ^p^y^q=lambda(x+y)^(p+q) , where lambda is arbitrary constant.

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

Find the differential equation which is satisfied by y=Asinx+Bcosx, A and B being arbitrary constants.

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

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

Find the differential equation satisfied by the family of parabolas y^2=4ax , where a ne 0 is an arbitrary constant.

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.

Form the differential equation, if y^(2)=4a(x+a), where a is arbitary constant.

PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. State whether the differential equation xsqrtx(d^4y)/(dx^4)+2((dy)/(dx...

    Text Solution

    |

  2. Fill ups Degree of a linear differential equation is always………….

    Text Solution

    |

  3. Write down the order of the differential equation which is satisfied b...

    Text Solution

    |

  4. Write down the order of the differential equation of the family of all...

    Text Solution

    |

  5. The integrating factor of the differential equation (1+y^(2))+(2xy-cot...

    Text Solution

    |

  6. Solve the differential equations: (d^2y)/(dx^2)=0.

    Text Solution

    |

  7. What is the order of the differential equation of all circles in a pla...

    Text Solution

    |

  8. Find the integrating factor the differential equation xlogx(dy)/(dx)+y...

    Text Solution

    |

  9. Solve the differential equation [(e^(-2sqrtx) ) /sqrtx-y/sqrtx]dy/dx=1...

    Text Solution

    |

  10. The degree of differential equation: (d^(4)y)/(dx^(4)) + sin (y''')=...

    Text Solution

    |

  11. Determine order and degree of differential equations: y'+5y=0

    Text Solution

    |

  12. Determine order and degree (if defined) of differential equation: ((ds...

    Text Solution

    |

  13. The degree of differential equation: (d^(2)y)/(dx^(2)) + cos ((dy)/(...

    Text Solution

    |

  14. Determine order and degree (if defined) of differential equation: ((d^...

    Text Solution

    |

  15. Determine order and degree of differential equations: (y''')^2+(y'')^3...

    Text Solution

    |

  16. Determine order and degree (if defined) of differential equation: (y''...

    Text Solution

    |

  17. Determine order and degree of differential equations: y'+y=e^x

    Text Solution

    |

  18. Determine order and degree of differential equations: y''+(y')^2+2y=0

    Text Solution

    |

  19. Determine order and degree of differential equations: y''+2y'+siny=0

    Text Solution

    |

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

    Text Solution

    |