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Statement I Differential equation corres...

Statement I Differential equation corresponding to all lines, ax+by+c=0 has the order 3.
Statement II Gereral solution of a differential equation of nth order contains n independent arbitaray constanis.

A

Statement I is true ,and Statement II is the correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is the correct explanation for Statment I

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

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The correct Answer is:
d
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Knowledge Check

  • The number of arbitrary constants in the general solution of a differential equation of fourth order is

    A
    0
    B
    2
    C
    3
    D
    4

  • the differential equation of order 3 and degree 2 is

    A
    `((d^2y)/dx^2)^3+3y=0`
    B
    `((d^3y)/dx^3)^2+y=0`
    C
    `((d^3y)/dx^3)^2+y^2=0`
    D
    `(d^2y)/(dx^2)+3y^3=0`

  • The number of arbitrary constants in the general solution of a differential equation of fourth order are:

    A
    0
    B
    2
    C
    3
    D
    4

    • Similar Questions

    Explore conceptually related problems

    The number of arbitrary constants in the general solution of a differential equation of fourth order are:

    The number of arbitrary constant in the particular solution of a differential equation of third order is :

    The number of arbitrary costants in the particular solution of a differential equation of fourth order is

    The number of arbitrary constants in the particular solution of a differential equation of fifth order is :

    The number of arbitrary constants in the particular solution of a differential equation of fifth order is :

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