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State the order and degree of the follow...

State the order and degree of the following differential equations 1) `((d^2x)/(dt^2))^3+((dx)/(dt))^4-xt=0` 2) `(d^2y)/(dx^2)=(1+((dy)/(dx))^2)^(3/2)`

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The correct Answer is:
(i) order 2 & degree 3 (ii) order 2 & degree 2
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Knowledge Check

  • Write the order and degree of the following differential equations. ((dy)/(dx))^2+3(d^2y)/(dx^2)=4

    A
    order=1, degree =1
    B
    order=1, degree =2
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    A
    order=3, degree =3
    B
    order=2, degree =2
    C
    order=3, degree =2
    D
    order=2, degree =3

  • Write the order and degree of the following differential equations. [1+((dy)/(dx))^2]^(3/2)= k (d^2y)/(dx^2)

    A
    order=1, degree =1
    B
    order=1, degree =2
    C
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    D
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