Home
Class 12
MATHS
If y^(2)= p(x) the is polynomial of orde...

If `y^(2)= p(x)` the is polynomial of order 3, then `2(d)/(dx) [y^(3) (d^(2)y)/(dx^(2))]=`……….

A

`p'''(x) + p'(x)`

B

`p''(x).p'''(x)`

C

`p(x).p'''(x)`

D

`p(x) +p'''(x)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

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

Write order and degree (if defined) of each of the following differential equations. (d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2))+(dy)/(dx)=0

Knowledge Check

  • y^(2) = ax^(2) +bx + c then y^(3) (d^(2)y)/(dx^(2)) is a …….. function

    A
    constant
    B
    only for x
    C
    only for y
    D
    for x and y

  • If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `(3)/(2)`
    B
    `(3)/(4t)`
    C
    `(3)/(2t)`
    D
    `(3t)/(2)`

  • If x= t^(2) and y= t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `(3)/(2)`
    B
    `(3)/(4t)`
    C
    `(3)/(2t)`
    D
    `(3t)/(2)`

    • Similar Questions

    Explore conceptually related problems

    If y is twice differentiable function of x, then the expression (1-x^(2)).(d^(2)y)/(dx^(2))-x(dy)/(dx)+y by means of the transformation x=sint in terms of t is (d^(2)y)/(dt^(2))+lambday . Thus lambda is….

    Find the general solution of the differential equation (dy)/(dx) = (1 + y^(2))/(1 + x^(2)) .

    If y=5 cos x-3 sin x , prove that (d^(2)y)/(dx^(2)) + y= 0

    If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0

    Verify that the function y = e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2)) + (dy)/(dx) - 6y = 0

    Home
    Profile