Home
Class 12
MATHS
The degree of the differential equation ...

The degree of the differential equation
`(d^(2)y)/(dx^(2))^(3) + ((dy)/(dx))^(2) + sin ((dy)/(dx)) + 1 = 0` is

A

3

B

2

C

1

D

not defined

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.2|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE - 9.3|12 Videos
  • DIFFERENTIAL EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXAMPLES|5 Videos
  • DETERMINANTS

    NCERT GUJARATI|Exercise Miscellaneous Exercises on Chapter 4|18 Videos
  • INTEGRALS

    NCERT GUJARATI|Exercise EXERCISE 7.12|41 Videos

Similar Questions

Explore conceptually related problems

The degree of the differential equation ((d^(2)y)/(dx^(2)))+((dy)/(dx))^(2)=xsin((d^(2)y)/(dx^(2))) is

The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx))^(2)=x^(2)log((d^(2)y)/(dx^(2))), is

Knowledge Check

  • The order of the differential equation 2x^(2) (d^(2)y)/(dx^(2))-3(dy)/(dx) + y = 0 is

    A
    2
    B
    1
    C
    0
    D
    not defined
  • The order and degree of differential equation xy (d^2 y)/( dx^2) +((dy)/(dx))^2 -y ((dy)/(dx))^3 =0 is …….

    A
    1 and 2
    B
    1 and 3
    C
    2 and 2
    D
    2 and 1
  • The order and degree of differential equation xy (d^2 y)/( dx^2) +((dy)/(dx))^2 -y ((dy)/(dx))^3 =0 is …….

    A
    1 and 2
    B
    1 and 3
    C
    2 and 2
    D
    2 and 1
  • Similar Questions

    Explore conceptually related problems

    ((d^(2)y)/(dx^(2)))^(2) + cos ((dy)/(dx)) = 0

    The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)

    Verify that the function y = c_(1) e^(ax) cos bx + c_(2)e^(ax) sin bx , where c_(1),c_(2) are arbitrary constants is a solution of the differential equation (d^(2)y)/(dx^(2)) - 2a(dy)/(dx) + (a^(2) + b^(2))y = 0

    The order and degree of the differential equation ((d^(2)y)/(dx^(2)))^(3)+ 3(dy)/(dx)= sqrtx, x gt 0 are ____respectively.

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