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If m, n are the order and degree of the ...

If m, n are the order and degree of the differential equation `[(d^(4)y)/(dx^(4))+(d^(2)y)/(dx^(2))]^((1)/(2))=a(d^(2)y)/(dx^(2))` respectively, then the value of `4m-n` is

A

15

B

12

C

14

D

13

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Knowledge Check

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

    A
    `2,2`
    B
    `2,1`
    C
    `1,2`
    D
    `2,3`

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

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

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

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