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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

  • Form differential equation for Ax+By+C=0

    A
    `y_(3)=0`
    B
    `y_(2)=0`
    C
    `y_(3)x+y_(2)y+y_(1)=0`
    D
    `x+yy_(1)+y_(2)=0`

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

    A
    0
    B
    2
    C
    3
    D
    4

  • The number of arbitrary constants in the particular solution of differential equation of third order is

    A
    3
    B
    2
    C
    1
    D
    zero

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    Which of the following differential equation has the same order and degree?

    Statement I The order of differential equation of all conics whose centre lies at origin is , 2. Statement II The order of differential equation is same as number of arbitary unknowns in the given curve.

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