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The degree of the differential equation...

The degree of the differential equation`((d^2y)/(dx^2))^3+((dy)/(dx))^2+sin((dy)/(dx))+1=0`

A

`3`

B

`2`

C

`1`

D

not defined

Text Solution

Verified by Experts

The correct Answer is:
D
The derivative of highest order in the given differential equation is `((d^(2)y)/(dx^(2)))^(3)`, but `sin((dy)/(dx))` is not a polynomial so the degree is not defined.
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Knowledge Check

  • The degree of differential equation (d^(2)y)/(dx^(2))+y=x sin(dy)/(dx) is

    A
    1
    B
    2
    C
    3
    D
    not defined

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