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For each of the differential equations g...

For each of the differential equations given below, indicate its order and degree(if defined).
(i) `(d^(2)y)/(dx^(2))+ 5x((dy)/(dx))^(2) - 6y = log x`
(ii)`((dy)/(dx))^(3) - 4((dy)/(dx))^(2) + 7y = sin x`
(iii)`(d^(4)y)/(dx^(4)) - sin ((d^(3)y)/(dx^(3)) = 0`

Text Solution

Verified by Experts

The correct Answer is:
(i) Order 2; Degree 1
(ii) Order 1; Degree 3
(iii) Order 4; Degree not defined
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Knowledge Check

  • The order of the differential equation (d^(2)y)/(dx^(2)) - 5 (dy)/(dx) + 6y = 0 is

    A
    1
    B
    2
    C
    3
    D
    4

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

    A
    1
    B
    2
    C
    3
    D
    cannot be defined

  • The order and degree of the differential equation ((d^(2)y)/(dx^(2)) + ((dy)/(dx))^(3))^(6//5) = 6y is

    A
    2,1
    B
    1,2
    C
    2,6
    D
    6,2

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