Home
Class 12
MATHS
Let x be the number of indepandent const...

Let x be the number of indepandent constants in
the general solution of a differential of order y then -

A

x=y

B

` x gt y`

C

` x lt y`

D

`x ge y`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type Questions )|9 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise EXERCISE ( Short Answer Type Questions )|28 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • PARABOLA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( E Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equation (dy)/(dx) = cosx.

Statement 1 : Order of a differential equation represents the number of arbitrary constants in the general solution. Statement 2 : Degree of a differential equation represents the number of family of curves. Which of the following Statement is/are are correct ?

Knowledge Check

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

    A
    0
    B
    2
    C
    3
    D
    4
  • The number of arbitary constants in the particular solution of a differential equation of third order are :

    A
    3
    B
    2
    C
    1
    D
    0
  • The general solution of the differential equation (x+y)dx+xdy=0 is -

    A
    `y^(2)+2xy=c`
    B
    `x^(2)+y^(2)=c`
    C
    `x^(2)+2xy=c`
    D
    `2x^(2)-y^(2)=c`
  • Similar Questions

    Explore conceptually related problems

    Find the general solution of (x+log y)dy + y dx =0

    If y=x/(log|cx|) (where c is an arbitrary constant) is the general solution of the differential equation (dy)/(dx)=y/x+varphi(x/y), then the function varphi(x/y) is

    The general solution of the differential equation (dy)/(dx)=2^(y-x) is -

    The general solution of the differential equation (dy)/(dx) = e^(x + y) is

    The general solution of the differential equation (y dx - x dy)/(y ) = 0 is