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The degree of the differential equation ...

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

A

1

B

2

C

3

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D

Since the equation is not a polynomial in all differential coefficients. So, its degree is not defined.
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Knowledge Check

  • The degree of the diffrerential equation (d^(2)y)/(dx^2)+3[(dy)/(dx)]^(2)= x^(2) log [(d^(2)y)/(dx^2)] is

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    B
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    B
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    C
    3
    D
    Nor defined
  • The degree of the differential equation (d^2y)/(dx^2)+((dy)/(dx))^2+6y^5=0 is

    A
    1
    B
    2
    C
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