Home
Class 12
MATHS
Select and write the correct answer from...

Select and write the correct answer from the given alternatives in each of the following sub-questions :
The order and degree of the differential equation `[1+((dy)/(dx))^(3)]^(7//3)=7((d^(2)y)/(dx^(2)))` are respectively.

A

2,3

B

3,2

C

2,2

D

3,3

Text Solution

Verified by Experts

The correct Answer is:
A
Given equation is ,
`[1+((dy)/(dx))^(2)]^(7//3)=7((d^(2)y)/(dx^(2)))`
On cubing both sides, we get
`[1+((dy)/(dx))^(3)]^(7)=(7)^(3)((d^(2)y)/(dx^(2)))^(3)`
order = 2, degree = 3
Hence, correct answer from the given alternatives is (a).
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JULY 2016

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise Section-II|20 Videos

  • FEBRUARY 2020

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise All Questions|44 Videos

  • JULY 2017

    GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS|Exercise SECTION - II|20 Videos

Similar Questions

Explore conceptually related problems

The degree and order of the differential equation [1+((dy)/(dx))^(3)]^((1)/(3))=7((d^(2)y)/(dx^(2))) respectively are

The order and the degree of the differential equation , ((dy)/(dx))^(3)+((d^(3)y)/(dx^(3)))^(3)+5x=0 are

Knowledge Check

  • The degree and order of the differnential equation [1+((dy)/(dx))^(3)]^(7//3)=7((d^(2)y)/(dx^(2))) respectively are

    A
    3 and 7
    B
    3and 2
    C
    7 and 3
    D
    2 and 3

  • The order and degree of the differential equation rho=({1+((dy)/(dx))^(2)}^(3//2))/((d^(2)y)/(dx^(2))) are respectively

    A
    2,2
    B
    2,3
    C
    2,1
    D
    none of these

  • The order and degree of the differential equation [1+((dy)/(dx))^(2)]^(3//4)=((d^(2)y)/(dx^(2)))^(1//3)

    A
    (2,4)
    B
    (2,5)
    C
    (2,1)
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Determine the order and degree of the differential equation : ((dy)/(dx))^(3)-2y(d^(2)y)/(dx^(2))=0 .

    The degree and order of the differential equation [ 1+((dy)/(dx))^(3)]^(7/3)=7((d^(2)y)/(dx^(2))) respectively are

    The order and degree of the differential equation. [ 1 + ((dy)/(dx))^(2)]^(3) = rho^(2) [ (d^(2) y)/(dx^(2))]^(2) are respectively .

    The order and degree of the differential equation (1+3(dy)/(dx))^(2//3)=4(d^(3)y)/(dx^(3))are

    Order and degree of the differential equation ((d^(3)y)/(dx^(3)))^(3//2)+((d^(3)y)/(dx^(3)))^(-2//3)=0 are respectively

    Home
    Profile