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STATEMENT-1 : If m and n are respectivel...

STATEMENT-1 : If m and n are respectively order and degree of differential equation , then m and n are mutually independent.
STATEMENT-2 : If general solution of a differential equation contains two arbitrary constants, then its order is 2.
STATEMENT-3 : The order and degree of differential equation `sqrt(1+((dy)/(dx))^(2)) = (x(d^(2)y)/(dx^(2)))^(1//3)` are 2 and 2 respectively.

A

T F T

B

T T T

C

F F F

D

F F T

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • 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

  • The order and degree of differential equation: [1+((dy)/(dx))^(2)]=(d^(2)y)/(dx^(2)"are"

    A
    `2,(3)/(2)`
    B
    2,3
    C
    2,1
    D
    3,4

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

    A
    `1,(2)/(3)`
    B
    3,1
    C
    3,3
    D
    1,2