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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 1
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Knowledge Check

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

    A
    2
    B
    1
    C
    0
    D
    not defined
  • The order and degree of differential equation xy (d^2 y)/( dx^2) +((dy)/(dx))^2 -y ((dy)/(dx))^3 =0 is …….

    A
    1 and 2
    B
    1 and 3
    C
    2 and 2
    D
    2 and 1
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